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Finding the Fourth Proportional to 40,842.60, 61,235.07 and 15,861.84

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Solution

The fourth proportional to 40,842.60, 61,235.07 and 15,861.84 is: 23,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842.60 : 61,235.07 = 15,861.84 : x
  2. Step 2: Convert to fraction form
    40,842.60/61,235.07 = 15,861.84/x
  3. Step 3: Cross multiply
    40,842.60x = 61,235.07 × 15,861.84
  4. Step 4: Simplify right side
    40,842.60x = 971,300,882.73
  5. Step 5: Solve for x
    x = 971,300,882.73/40,842.60
  6. Step 6: Final answer
    x = 23,781.56

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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.