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Finding the Fourth Proportional to 3,471.68, 5,209.41 and 1,280.09

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Solution

The fourth proportional to 3,471.68, 5,209.41 and 1,280.09 is: 1,920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.68 : 5,209.41 = 1,280.09 : x
  2. Step 2: Convert to fraction form
    3,471.68/5,209.41 = 1,280.09/x
  3. Step 3: Cross multiply
    3,471.68x = 5,209.41 × 1,280.09
  4. Step 4: Simplify right side
    3,471.68x = 6,668,487.60
  5. Step 5: Solve for x
    x = 6,668,487.60/3,471.68
  6. Step 6: Final answer
    x = 1,920.83

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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.