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Finding the Fourth Proportional to 21,670.80, 32,508.88 and 7,627.52

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Solution

The fourth proportional to 21,670.80, 32,508.88 and 7,627.52 is: 11,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670.80 : 32,508.88 = 7,627.52 : x
  2. Step 2: Convert to fraction form
    21,670.80/32,508.88 = 7,627.52/x
  3. Step 3: Cross multiply
    21,670.80x = 32,508.88 × 7,627.52
  4. Step 4: Simplify right side
    21,670.80x = 247,962,132.38
  5. Step 5: Solve for x
    x = 247,962,132.38/21,670.80
  6. Step 6: Final answer
    x = 11,442.22

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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.