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Finding the Fourth Proportional to 8,965.53, 13,452.17 and 3,420.54

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Solution

The fourth proportional to 8,965.53, 13,452.17 and 3,420.54 is: 5,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.53 : 13,452.17 = 3,420.54 : x
  2. Step 2: Convert to fraction form
    8,965.53/13,452.17 = 3,420.54/x
  3. Step 3: Cross multiply
    8,965.53x = 13,452.17 × 3,420.54
  4. Step 4: Simplify right side
    8,965.53x = 46,013,668.47
  5. Step 5: Solve for x
    x = 46,013,668.47/8,965.53
  6. Step 6: Final answer
    x = 5,132.29

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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.