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Finding the Fourth Proportional to 4,167.92, 6,251.34 and 1,978.04

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Solution

The fourth proportional to 4,167.92, 6,251.34 and 1,978.04 is: 2,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.92 : 6,251.34 = 1,978.04 : x
  2. Step 2: Convert to fraction form
    4,167.92/6,251.34 = 1,978.04/x
  3. Step 3: Cross multiply
    4,167.92x = 6,251.34 × 1,978.04
  4. Step 4: Simplify right side
    4,167.92x = 12,365,400.57
  5. Step 5: Solve for x
    x = 12,365,400.57/4,167.92
  6. Step 6: Final answer
    x = 2,966.80

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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.