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Finding the Fourth Proportional to 21,387.52, 32,086.14 and 8,064.64

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Solution

The fourth proportional to 21,387.52, 32,086.14 and 8,064.64 is: 12,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,387.52 : 32,086.14 = 8,064.64 : x
  2. Step 2: Convert to fraction form
    21,387.52/32,086.14 = 8,064.64/x
  3. Step 3: Cross multiply
    21,387.52x = 32,086.14 × 8,064.64
  4. Step 4: Simplify right side
    21,387.52x = 258,763,168.09
  5. Step 5: Solve for x
    x = 258,763,168.09/21,387.52
  6. Step 6: Final answer
    x = 12,098.79

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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.