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Finding the Fourth Proportional to 22,700.71, 31,329.75 and 13,747.99

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Solution

The fourth proportional to 22,700.71, 31,329.75 and 13,747.99 is: 18,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,700.71 : 31,329.75 = 13,747.99 : x
  2. Step 2: Convert to fraction form
    22,700.71/31,329.75 = 13,747.99/x
  3. Step 3: Cross multiply
    22,700.71x = 31,329.75 × 13,747.99
  4. Step 4: Simplify right side
    22,700.71x = 430,721,089.70
  5. Step 5: Solve for x
    x = 430,721,089.70/22,700.71
  6. Step 6: Final answer
    x = 18,973.90

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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.