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Finding the Fourth Proportional to 15,057.28, 22,572.48 and 7,657.60

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Solution

The fourth proportional to 15,057.28, 22,572.48 and 7,657.60 is: 11,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,057.28 : 22,572.48 = 7,657.60 : x
  2. Step 2: Convert to fraction form
    15,057.28/22,572.48 = 7,657.60/x
  3. Step 3: Cross multiply
    15,057.28x = 22,572.48 × 7,657.60
  4. Step 4: Simplify right side
    15,057.28x = 172,851,022.85
  5. Step 5: Solve for x
    x = 172,851,022.85/15,057.28
  6. Step 6: Final answer
    x = 11,479.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.