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Finding the Fourth Proportional to 1,747.90, 2,616.65 and 1,129.80

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Solution

The fourth proportional to 1,747.90, 2,616.65 and 1,129.80 is: 1,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.90 : 2,616.65 = 1,129.80 : x
  2. Step 2: Convert to fraction form
    1,747.90/2,616.65 = 1,129.80/x
  3. Step 3: Cross multiply
    1,747.90x = 2,616.65 × 1,129.80
  4. Step 4: Simplify right side
    1,747.90x = 2,956,291.17
  5. Step 5: Solve for x
    x = 2,956,291.17/1,747.90
  6. Step 6: Final answer
    x = 1,691.34

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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.