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Finding the Fourth Proportional to 1,747.62, 2,618.18 and 869.12

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Solution

The fourth proportional to 1,747.62, 2,618.18 and 869.12 is: 1,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.62 : 2,618.18 = 869.12 : x
  2. Step 2: Convert to fraction form
    1,747.62/2,618.18 = 869.12/x
  3. Step 3: Cross multiply
    1,747.62x = 2,618.18 × 869.12
  4. Step 4: Simplify right side
    1,747.62x = 2,275,495.17
  5. Step 5: Solve for x
    x = 2,275,495.17/1,747.62
  6. Step 6: Final answer
    x = 1,302.05

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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.