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Finding the Fourth Proportional to 3,141.70, 4,711.17 and 1,581.10

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Solution

The fourth proportional to 3,141.70, 4,711.17 and 1,581.10 is: 2,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.70 : 4,711.17 = 1,581.10 : x
  2. Step 2: Convert to fraction form
    3,141.70/4,711.17 = 1,581.10/x
  3. Step 3: Cross multiply
    3,141.70x = 4,711.17 × 1,581.10
  4. Step 4: Simplify right side
    3,141.70x = 7,448,830.89
  5. Step 5: Solve for x
    x = 7,448,830.89/3,141.70
  6. Step 6: Final answer
    x = 2,370.96

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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.