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Finding the Fourth Proportional to 3,977.92, 5,492.12 and 3,730.08

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Solution

The fourth proportional to 3,977.92, 5,492.12 and 3,730.08 is: 5,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.92 : 5,492.12 = 3,730.08 : x
  2. Step 2: Convert to fraction form
    3,977.92/5,492.12 = 3,730.08/x
  3. Step 3: Cross multiply
    3,977.92x = 5,492.12 × 3,730.08
  4. Step 4: Simplify right side
    3,977.92x = 20,486,046.97
  5. Step 5: Solve for x
    x = 20,486,046.97/3,977.92
  6. Step 6: Final answer
    x = 5,149.94

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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.