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Finding the Fourth Proportional to 8,714.78, 13,073.80 and 2,871.62

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Solution

The fourth proportional to 8,714.78, 13,073.80 and 2,871.62 is: 4,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.78 : 13,073.80 = 2,871.62 : x
  2. Step 2: Convert to fraction form
    8,714.78/13,073.80 = 2,871.62/x
  3. Step 3: Cross multiply
    8,714.78x = 13,073.80 × 2,871.62
  4. Step 4: Simplify right side
    8,714.78x = 37,542,985.56
  5. Step 5: Solve for x
    x = 37,542,985.56/8,714.78
  6. Step 6: Final answer
    x = 4,307.97

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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.