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Finding the Fourth Proportional to 5,508.78, 8,262.54 and 1,613.22

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Solution

The fourth proportional to 5,508.78, 8,262.54 and 1,613.22 is: 2,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,508.78 : 8,262.54 = 1,613.22 : x
  2. Step 2: Convert to fraction form
    5,508.78/8,262.54 = 1,613.22/x
  3. Step 3: Cross multiply
    5,508.78x = 8,262.54 × 1,613.22
  4. Step 4: Simplify right side
    5,508.78x = 13,329,294.78
  5. Step 5: Solve for x
    x = 13,329,294.78/5,508.78
  6. Step 6: Final answer
    x = 2,419.65

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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.