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Finding the Fourth Proportional to 21,993.82, 30,322.92 and 14,022.21

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Solution

The fourth proportional to 21,993.82, 30,322.92 and 14,022.21 is: 19,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.82 : 30,322.92 = 14,022.21 : x
  2. Step 2: Convert to fraction form
    21,993.82/30,322.92 = 14,022.21/x
  3. Step 3: Cross multiply
    21,993.82x = 30,322.92 × 14,022.21
  4. Step 4: Simplify right side
    21,993.82x = 425,194,352.05
  5. Step 5: Solve for x
    x = 425,194,352.05/21,993.82
  6. Step 6: Final answer
    x = 19,332.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.