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Finding the Fourth Proportional to 8,519.70, 12,780.14 and 2,974.44

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Solution

The fourth proportional to 8,519.70, 12,780.14 and 2,974.44 is: 4,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.70 : 12,780.14 = 2,974.44 : x
  2. Step 2: Convert to fraction form
    8,519.70/12,780.14 = 2,974.44/x
  3. Step 3: Cross multiply
    8,519.70x = 12,780.14 × 2,974.44
  4. Step 4: Simplify right side
    8,519.70x = 38,013,744.75
  5. Step 5: Solve for x
    x = 38,013,744.75/8,519.70
  6. Step 6: Final answer
    x = 4,461.86

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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.