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Finding the Fourth Proportional to 3,139.28, 4,708.84 and 830.80

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Solution

The fourth proportional to 3,139.28, 4,708.84 and 830.80 is: 1,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.28 : 4,708.84 = 830.80 : x
  2. Step 2: Convert to fraction form
    3,139.28/4,708.84 = 830.80/x
  3. Step 3: Cross multiply
    3,139.28x = 4,708.84 × 830.80
  4. Step 4: Simplify right side
    3,139.28x = 3,912,104.27
  5. Step 5: Solve for x
    x = 3,912,104.27/3,139.28
  6. Step 6: Final answer
    x = 1,246.18

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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.