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Finding the Fourth Proportional to 3,140.68, 4,711.11 and 1,753.24

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Solution

The fourth proportional to 3,140.68, 4,711.11 and 1,753.24 is: 2,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.68 : 4,711.11 = 1,753.24 : x
  2. Step 2: Convert to fraction form
    3,140.68/4,711.11 = 1,753.24/x
  3. Step 3: Cross multiply
    3,140.68x = 4,711.11 × 1,753.24
  4. Step 4: Simplify right side
    3,140.68x = 8,259,706.50
  5. Step 5: Solve for x
    x = 8,259,706.50/3,140.68
  6. Step 6: Final answer
    x = 2,629.91

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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.