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Finding the Fourth Proportional to 14,007.84, 19,330.92 and 7,720.32

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Solution

The fourth proportional to 14,007.84, 19,330.92 and 7,720.32 is: 10,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.84 : 19,330.92 = 7,720.32 : x
  2. Step 2: Convert to fraction form
    14,007.84/19,330.92 = 7,720.32/x
  3. Step 3: Cross multiply
    14,007.84x = 19,330.92 × 7,720.32
  4. Step 4: Simplify right side
    14,007.84x = 149,240,888.29
  5. Step 5: Solve for x
    x = 149,240,888.29/14,007.84
  6. Step 6: Final answer
    x = 10,654.10

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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.