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Finding the Fourth Proportional to 21,591.63, 32,391.14 and 9,905.85

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Solution

The fourth proportional to 21,591.63, 32,391.14 and 9,905.85 is: 14,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,591.63 : 32,391.14 = 9,905.85 : x
  2. Step 2: Convert to fraction form
    21,591.63/32,391.14 = 9,905.85/x
  3. Step 3: Cross multiply
    21,591.63x = 32,391.14 × 9,905.85
  4. Step 4: Simplify right side
    21,591.63x = 320,861,724.64
  5. Step 5: Solve for x
    x = 320,861,724.64/21,591.63
  6. Step 6: Final answer
    x = 14,860.47

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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.