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Finding the Fourth Proportional to 29,059, 40,101.42 and 15,811

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Solution

The fourth proportional to 29,059, 40,101.42 and 15,811 is: 21,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,059 : 40,101.42 = 15,811 : x
  2. Step 2: Convert to fraction form
    29,059/40,101.42 = 15,811/x
  3. Step 3: Cross multiply
    29,059x = 40,101.42 × 15,811
  4. Step 4: Simplify right side
    29,059x = 634,043,551.62
  5. Step 5: Solve for x
    x = 634,043,551.62/29,059
  6. Step 6: Final answer
    x = 21,819.18

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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.