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Finding the Fourth Proportional to 3,138.70, 4,712.85 and 1,842.70

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Solution

The fourth proportional to 3,138.70, 4,712.85 and 1,842.70 is: 2,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.70 : 4,712.85 = 1,842.70 : x
  2. Step 2: Convert to fraction form
    3,138.70/4,712.85 = 1,842.70/x
  3. Step 3: Cross multiply
    3,138.70x = 4,712.85 × 1,842.70
  4. Step 4: Simplify right side
    3,138.70x = 8,684,368.70
  5. Step 5: Solve for x
    x = 8,684,368.70/3,138.70
  6. Step 6: Final answer
    x = 2,766.87

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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.