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Finding the Fourth Proportional to 47,892.84, 71,839.24 and 21,605.08

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Solution

The fourth proportional to 47,892.84, 71,839.24 and 21,605.08 is: 32,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,892.84 : 71,839.24 = 21,605.08 : x
  2. Step 2: Convert to fraction form
    47,892.84/71,839.24 = 21,605.08/x
  3. Step 3: Cross multiply
    47,892.84x = 71,839.24 × 21,605.08
  4. Step 4: Simplify right side
    47,892.84x = 1,552,092,527.34
  5. Step 5: Solve for x
    x = 1,552,092,527.34/47,892.84
  6. Step 6: Final answer
    x = 32,407.61

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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.