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Finding the Fourth Proportional to 2,711.92, 3,734.10 and 2,312.70

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Solution

The fourth proportional to 2,711.92, 3,734.10 and 2,312.70 is: 3,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.92 : 3,734.10 = 2,312.70 : x
  2. Step 2: Convert to fraction form
    2,711.92/3,734.10 = 2,312.70/x
  3. Step 3: Cross multiply
    2,711.92x = 3,734.10 × 2,312.70
  4. Step 4: Simplify right side
    2,711.92x = 8,635,853.07
  5. Step 5: Solve for x
    x = 8,635,853.07/2,711.92
  6. Step 6: Final answer
    x = 3,184.41

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1.5x scale

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.