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Finding the Fourth Proportional to 21,987.52, 32,976.72 and 7,757.92

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Solution

The fourth proportional to 21,987.52, 32,976.72 and 7,757.92 is: 11,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.52 : 32,976.72 = 7,757.92 : x
  2. Step 2: Convert to fraction form
    21,987.52/32,976.72 = 7,757.92/x
  3. Step 3: Cross multiply
    21,987.52x = 32,976.72 × 7,757.92
  4. Step 4: Simplify right side
    21,987.52x = 255,830,755.62
  5. Step 5: Solve for x
    x = 255,830,755.62/21,987.52
  6. Step 6: Final answer
    x = 11,635.27

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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.