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Finding the Fourth Proportional to 29,076, 40,124.88 and 15,828

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Solution

The fourth proportional to 29,076, 40,124.88 and 15,828 is: 21,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,076 : 40,124.88 = 15,828 : x
  2. Step 2: Convert to fraction form
    29,076/40,124.88 = 15,828/x
  3. Step 3: Cross multiply
    29,076x = 40,124.88 × 15,828
  4. Step 4: Simplify right side
    29,076x = 635,096,600.64
  5. Step 5: Solve for x
    x = 635,096,600.64/29,076
  6. Step 6: Final answer
    x = 21,842.64

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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.