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Finding the Fourth Proportional to 8,579.78, 12,865.56 and 4,192.10

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Solution

The fourth proportional to 8,579.78, 12,865.56 and 4,192.10 is: 6,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,579.78 : 12,865.56 = 4,192.10 : x
  2. Step 2: Convert to fraction form
    8,579.78/12,865.56 = 4,192.10/x
  3. Step 3: Cross multiply
    8,579.78x = 12,865.56 × 4,192.10
  4. Step 4: Simplify right side
    8,579.78x = 53,933,714.08
  5. Step 5: Solve for x
    x = 53,933,714.08/8,579.78
  6. Step 6: Final answer
    x = 6,286.14

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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.