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Finding the Fourth Proportional to 21,387.62, 32,078.68 and 8,905.31

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Solution

The fourth proportional to 21,387.62, 32,078.68 and 8,905.31 is: 13,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,387.62 : 32,078.68 = 8,905.31 : x
  2. Step 2: Convert to fraction form
    21,387.62/32,078.68 = 8,905.31/x
  3. Step 3: Cross multiply
    21,387.62x = 32,078.68 × 8,905.31
  4. Step 4: Simplify right side
    21,387.62x = 285,670,589.79
  5. Step 5: Solve for x
    x = 285,670,589.79/21,387.62
  6. Step 6: Final answer
    x = 13,356.82

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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.