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Finding the Fourth Proportional to 2,497.57, 3,747.09 and 742.62

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Solution

The fourth proportional to 2,497.57, 3,747.09 and 742.62 is: 1,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.57 : 3,747.09 = 742.62 : x
  2. Step 2: Convert to fraction form
    2,497.57/3,747.09 = 742.62/x
  3. Step 3: Cross multiply
    2,497.57x = 3,747.09 × 742.62
  4. Step 4: Simplify right side
    2,497.57x = 2,782,680.81
  5. Step 5: Solve for x
    x = 2,782,680.81/2,497.57
  6. Step 6: Final answer
    x = 1,114.16

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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.