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Finding the Fourth Proportional to 3,130.88, 4,691.88 and 2,142.80

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Solution

The fourth proportional to 3,130.88, 4,691.88 and 2,142.80 is: 3,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.88 : 4,691.88 = 2,142.80 : x
  2. Step 2: Convert to fraction form
    3,130.88/4,691.88 = 2,142.80/x
  3. Step 3: Cross multiply
    3,130.88x = 4,691.88 × 2,142.80
  4. Step 4: Simplify right side
    3,130.88x = 10,053,760.46
  5. Step 5: Solve for x
    x = 10,053,760.46/3,130.88
  6. Step 6: Final answer
    x = 3,211.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.