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Finding the Fourth Proportional to 19,957.95, 29,909.12 and 10,085.71

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Solution

The fourth proportional to 19,957.95, 29,909.12 and 10,085.71 is: 15,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.95 : 29,909.12 = 10,085.71 : x
  2. Step 2: Convert to fraction form
    19,957.95/29,909.12 = 10,085.71/x
  3. Step 3: Cross multiply
    19,957.95x = 29,909.12 × 10,085.71
  4. Step 4: Simplify right side
    19,957.95x = 301,654,710.68
  5. Step 5: Solve for x
    x = 301,654,710.68/19,957.95
  6. Step 6: Final answer
    x = 15,114.51

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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.