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Finding the Fourth Proportional to 19,807.13, 29,711.07 and 7,320.71

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Solution

The fourth proportional to 19,807.13, 29,711.07 and 7,320.71 is: 10,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.13 : 29,711.07 = 7,320.71 : x
  2. Step 2: Convert to fraction form
    19,807.13/29,711.07 = 7,320.71/x
  3. Step 3: Cross multiply
    19,807.13x = 29,711.07 × 7,320.71
  4. Step 4: Simplify right side
    19,807.13x = 217,505,978.70
  5. Step 5: Solve for x
    x = 217,505,978.70/19,807.13
  6. Step 6: Final answer
    x = 10,981.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.