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Finding the Fourth Proportional to 3,023.52, 4,171 and 2,139.80

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Solution

The fourth proportional to 3,023.52, 4,171 and 2,139.80 is: 2,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.52 : 4,171 = 2,139.80 : x
  2. Step 2: Convert to fraction form
    3,023.52/4,171 = 2,139.80/x
  3. Step 3: Cross multiply
    3,023.52x = 4,171 × 2,139.80
  4. Step 4: Simplify right side
    3,023.52x = 8,925,105.80
  5. Step 5: Solve for x
    x = 8,925,105.80/3,023.52
  6. Step 6: Final answer
    x = 2,951.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.