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Finding the Fourth Proportional to 3,689.92, 5,093.96 and 2,431.80

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Solution

The fourth proportional to 3,689.92, 5,093.96 and 2,431.80 is: 3,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.92 : 5,093.96 = 2,431.80 : x
  2. Step 2: Convert to fraction form
    3,689.92/5,093.96 = 2,431.80/x
  3. Step 3: Cross multiply
    3,689.92x = 5,093.96 × 2,431.80
  4. Step 4: Simplify right side
    3,689.92x = 12,387,491.93
  5. Step 5: Solve for x
    x = 12,387,491.93/3,689.92
  6. Step 6: Final answer
    x = 3,357.12

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1.5x scale

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.