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Finding the Fourth Proportional to 29,101, 40,159.38 and 15,853

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Solution

The fourth proportional to 29,101, 40,159.38 and 15,853 is: 21,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,101 : 40,159.38 = 15,853 : x
  2. Step 2: Convert to fraction form
    29,101/40,159.38 = 15,853/x
  3. Step 3: Cross multiply
    29,101x = 40,159.38 × 15,853
  4. Step 4: Simplify right side
    29,101x = 636,646,651.14
  5. Step 5: Solve for x
    x = 636,646,651.14/29,101
  6. Step 6: Final answer
    x = 21,877.14

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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.