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Finding the Fourth Proportional to 12,876.66, 19,279.86 and 9,747.20

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Solution

The fourth proportional to 12,876.66, 19,279.86 and 9,747.20 is: 14,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.66 : 19,279.86 = 9,747.20 : x
  2. Step 2: Convert to fraction form
    12,876.66/19,279.86 = 9,747.20/x
  3. Step 3: Cross multiply
    12,876.66x = 19,279.86 × 9,747.20
  4. Step 4: Simplify right side
    12,876.66x = 187,924,651.39
  5. Step 5: Solve for x
    x = 187,924,651.39/12,876.66
  6. Step 6: Final answer
    x = 14,594.21

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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.