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Finding the Fourth Proportional to 6,517.76, 8,995.20 and 3,724.16

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Solution

The fourth proportional to 6,517.76, 8,995.20 and 3,724.16 is: 5,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.76 : 8,995.20 = 3,724.16 : x
  2. Step 2: Convert to fraction form
    6,517.76/8,995.20 = 3,724.16/x
  3. Step 3: Cross multiply
    6,517.76x = 8,995.20 × 3,724.16
  4. Step 4: Simplify right side
    6,517.76x = 33,499,564.03
  5. Step 5: Solve for x
    x = 33,499,564.03/6,517.76
  6. Step 6: Final answer
    x = 5,139.74

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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.