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Finding the Fourth Proportional to 3,139.08, 4,708.78 and 830.52

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Solution

The fourth proportional to 3,139.08, 4,708.78 and 830.52 is: 1,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.08 : 4,708.78 = 830.52 : x
  2. Step 2: Convert to fraction form
    3,139.08/4,708.78 = 830.52/x
  3. Step 3: Cross multiply
    3,139.08x = 4,708.78 × 830.52
  4. Step 4: Simplify right side
    3,139.08x = 3,910,735.97
  5. Step 5: Solve for x
    x = 3,910,735.97/3,139.08
  6. Step 6: Final answer
    x = 1,245.82

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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.