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Finding the Fourth Proportional to 3,712.90, 5,124.90 and 2,142.04

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Solution

The fourth proportional to 3,712.90, 5,124.90 and 2,142.04 is: 2,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.90 : 5,124.90 = 2,142.04 : x
  2. Step 2: Convert to fraction form
    3,712.90/5,124.90 = 2,142.04/x
  3. Step 3: Cross multiply
    3,712.90x = 5,124.90 × 2,142.04
  4. Step 4: Simplify right side
    3,712.90x = 10,977,740.80
  5. Step 5: Solve for x
    x = 10,977,740.80/3,712.90
  6. Step 6: Final answer
    x = 2,956.65

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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.