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Finding the Fourth Proportional to 5,581.68, 8,359.56 and 4,657.20

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Solution

The fourth proportional to 5,581.68, 8,359.56 and 4,657.20 is: 6,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.68 : 8,359.56 = 4,657.20 : x
  2. Step 2: Convert to fraction form
    5,581.68/8,359.56 = 4,657.20/x
  3. Step 3: Cross multiply
    5,581.68x = 8,359.56 × 4,657.20
  4. Step 4: Simplify right side
    5,581.68x = 38,932,142.83
  5. Step 5: Solve for x
    x = 38,932,142.83/5,581.68
  6. Step 6: Final answer
    x = 6,974.99

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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.