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Finding the Fourth Proportional to 15,201.80, 20,978.82 and 9,232.52

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Solution

The fourth proportional to 15,201.80, 20,978.82 and 9,232.52 is: 12,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.80 : 20,978.82 = 9,232.52 : x
  2. Step 2: Convert to fraction form
    15,201.80/20,978.82 = 9,232.52/x
  3. Step 3: Cross multiply
    15,201.80x = 20,978.82 × 9,232.52
  4. Step 4: Simplify right side
    15,201.80x = 193,687,375.23
  5. Step 5: Solve for x
    x = 193,687,375.23/15,201.80
  6. Step 6: Final answer
    x = 12,741.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.