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Finding the Fourth Proportional to 3,497.28, 5,247.20 and 1,672

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Solution

The fourth proportional to 3,497.28, 5,247.20 and 1,672 is: 2,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.28 : 5,247.20 = 1,672 : x
  2. Step 2: Convert to fraction form
    3,497.28/5,247.20 = 1,672/x
  3. Step 3: Cross multiply
    3,497.28x = 5,247.20 × 1,672
  4. Step 4: Simplify right side
    3,497.28x = 8,773,318.40
  5. Step 5: Solve for x
    x = 8,773,318.40/3,497.28
  6. Step 6: Final answer
    x = 2,508.61

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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.