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Finding the Fourth Proportional to 19,773.81, 27,287.85 and 10,821.32

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Solution

The fourth proportional to 19,773.81, 27,287.85 and 10,821.32 is: 14,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.81 : 27,287.85 = 10,821.32 : x
  2. Step 2: Convert to fraction form
    19,773.81/27,287.85 = 10,821.32/x
  3. Step 3: Cross multiply
    19,773.81x = 27,287.85 × 10,821.32
  4. Step 4: Simplify right side
    19,773.81x = 295,290,420.52
  5. Step 5: Solve for x
    x = 295,290,420.52/19,773.81
  6. Step 6: Final answer
    x = 14,933.41

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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.