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Finding the Fourth Proportional to 29,059.50, 40,102.11 and 15,811.50

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Solution

The fourth proportional to 29,059.50, 40,102.11 and 15,811.50 is: 21,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,059.50 : 40,102.11 = 15,811.50 : x
  2. Step 2: Convert to fraction form
    29,059.50/40,102.11 = 15,811.50/x
  3. Step 3: Cross multiply
    29,059.50x = 40,102.11 × 15,811.50
  4. Step 4: Simplify right side
    29,059.50x = 634,074,512.27
  5. Step 5: Solve for x
    x = 634,074,512.27/29,059.50
  6. Step 6: Final answer
    x = 21,819.87

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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.