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Finding the Fourth Proportional to 6,165.65, 8,512.20 and 3,929.42

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Solution

The fourth proportional to 6,165.65, 8,512.20 and 3,929.42 is: 5,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.65 : 8,512.20 = 3,929.42 : x
  2. Step 2: Convert to fraction form
    6,165.65/8,512.20 = 3,929.42/x
  3. Step 3: Cross multiply
    6,165.65x = 8,512.20 × 3,929.42
  4. Step 4: Simplify right side
    6,165.65x = 33,448,008.92
  5. Step 5: Solve for x
    x = 33,448,008.92/6,165.65
  6. Step 6: Final answer
    x = 5,424.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.