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Finding the Fourth Proportional to 21,755, 32,639.82 and 9,274.52

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Solution

The fourth proportional to 21,755, 32,639.82 and 9,274.52 is: 13,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755 : 32,639.82 = 9,274.52 : x
  2. Step 2: Convert to fraction form
    21,755/32,639.82 = 9,274.52/x
  3. Step 3: Cross multiply
    21,755x = 32,639.82 × 9,274.52
  4. Step 4: Simplify right side
    21,755x = 302,718,663.39
  5. Step 5: Solve for x
    x = 302,718,663.39/21,755
  6. Step 6: Final answer
    x = 13,914.90

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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.