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Finding the Fourth Proportional to 8,782.92, 13,174.56 and 2,543.40

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Solution

The fourth proportional to 8,782.92, 13,174.56 and 2,543.40 is: 3,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.92 : 13,174.56 = 2,543.40 : x
  2. Step 2: Convert to fraction form
    8,782.92/13,174.56 = 2,543.40/x
  3. Step 3: Cross multiply
    8,782.92x = 13,174.56 × 2,543.40
  4. Step 4: Simplify right side
    8,782.92x = 33,508,175.90
  5. Step 5: Solve for x
    x = 33,508,175.90/8,782.92
  6. Step 6: Final answer
    x = 3,815.15

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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.