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Finding the Fourth Proportional to 3,471.80, 5,207.70 and 2,086.70

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Solution

The fourth proportional to 3,471.80, 5,207.70 and 2,086.70 is: 3,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.80 : 5,207.70 = 2,086.70 : x
  2. Step 2: Convert to fraction form
    3,471.80/5,207.70 = 2,086.70/x
  3. Step 3: Cross multiply
    3,471.80x = 5,207.70 × 2,086.70
  4. Step 4: Simplify right side
    3,471.80x = 10,866,907.59
  5. Step 5: Solve for x
    x = 10,866,907.59/3,471.80
  6. Step 6: Final answer
    x = 3,130.05

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Similar ratio
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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.