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Finding the Fourth Proportional to 8,519.48, 12,780.84 and 4,139

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Solution

The fourth proportional to 8,519.48, 12,780.84 and 4,139 is: 6,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.48 : 12,780.84 = 4,139 : x
  2. Step 2: Convert to fraction form
    8,519.48/12,780.84 = 4,139/x
  3. Step 3: Cross multiply
    8,519.48x = 12,780.84 × 4,139
  4. Step 4: Simplify right side
    8,519.48x = 52,899,896.76
  5. Step 5: Solve for x
    x = 52,899,896.76/8,519.48
  6. Step 6: Final answer
    x = 6,209.29

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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.