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Finding the Fourth Proportional to 3,142.88, 4,711.86 and 1,500.20

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Solution

The fourth proportional to 3,142.88, 4,711.86 and 1,500.20 is: 2,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.88 : 4,711.86 = 1,500.20 : x
  2. Step 2: Convert to fraction form
    3,142.88/4,711.86 = 1,500.20/x
  3. Step 3: Cross multiply
    3,142.88x = 4,711.86 × 1,500.20
  4. Step 4: Simplify right side
    3,142.88x = 7,068,708.81
  5. Step 5: Solve for x
    x = 7,068,708.81/3,142.88
  6. Step 6: Final answer
    x = 2,249.12

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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.