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Finding the Fourth Proportional to 3,142, 4,711.11 and 1,061.56

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Solution

The fourth proportional to 3,142, 4,711.11 and 1,061.56 is: 1,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142 : 4,711.11 = 1,061.56 : x
  2. Step 2: Convert to fraction form
    3,142/4,711.11 = 1,061.56/x
  3. Step 3: Cross multiply
    3,142x = 4,711.11 × 1,061.56
  4. Step 4: Simplify right side
    3,142x = 5,001,125.93
  5. Step 5: Solve for x
    x = 5,001,125.93/3,142
  6. Step 6: Final answer
    x = 1,591.70

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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.