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Finding the Fourth Proportional to 3,079.92, 4,251.08 and 1,902

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Solution

The fourth proportional to 3,079.92, 4,251.08 and 1,902 is: 2,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.92 : 4,251.08 = 1,902 : x
  2. Step 2: Convert to fraction form
    3,079.92/4,251.08 = 1,902/x
  3. Step 3: Cross multiply
    3,079.92x = 4,251.08 × 1,902
  4. Step 4: Simplify right side
    3,079.92x = 8,085,554.16
  5. Step 5: Solve for x
    x = 8,085,554.16/3,079.92
  6. Step 6: Final answer
    x = 2,625.25

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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.