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Finding the Fourth Proportional to 2,691.52, 3,712.98 and 1,747.46

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Solution

The fourth proportional to 2,691.52, 3,712.98 and 1,747.46 is: 2,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.52 : 3,712.98 = 1,747.46 : x
  2. Step 2: Convert to fraction form
    2,691.52/3,712.98 = 1,747.46/x
  3. Step 3: Cross multiply
    2,691.52x = 3,712.98 × 1,747.46
  4. Step 4: Simplify right side
    2,691.52x = 6,488,293.31
  5. Step 5: Solve for x
    x = 6,488,293.31/2,691.52
  6. Step 6: Final answer
    x = 2,410.65

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1.5x scale

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.