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Finding the Fourth Proportional to 3,689.92, 5,093.16 and 2,431.90

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Solution

The fourth proportional to 3,689.92, 5,093.16 and 2,431.90 is: 3,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.92 : 5,093.16 = 2,431.90 : x
  2. Step 2: Convert to fraction form
    3,689.92/5,093.16 = 2,431.90/x
  3. Step 3: Cross multiply
    3,689.92x = 5,093.16 × 2,431.90
  4. Step 4: Simplify right side
    3,689.92x = 12,386,055.80
  5. Step 5: Solve for x
    x = 12,386,055.80/3,689.92
  6. Step 6: Final answer
    x = 3,356.73

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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.