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Finding the Fourth Proportional to 12,654.78, 18,982.26 and 5,251.20

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Solution

The fourth proportional to 12,654.78, 18,982.26 and 5,251.20 is: 7,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.78 : 18,982.26 = 5,251.20 : x
  2. Step 2: Convert to fraction form
    12,654.78/18,982.26 = 5,251.20/x
  3. Step 3: Cross multiply
    12,654.78x = 18,982.26 × 5,251.20
  4. Step 4: Simplify right side
    12,654.78x = 99,679,643.71
  5. Step 5: Solve for x
    x = 99,679,643.71/12,654.78
  6. Step 6: Final answer
    x = 7,876.84

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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.