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Finding the Fourth Proportional to 3,138.42, 4,708.42 and 2,215.78

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Solution

The fourth proportional to 3,138.42, 4,708.42 and 2,215.78 is: 3,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.42 : 4,708.42 = 2,215.78 : x
  2. Step 2: Convert to fraction form
    3,138.42/4,708.42 = 2,215.78/x
  3. Step 3: Cross multiply
    3,138.42x = 4,708.42 × 2,215.78
  4. Step 4: Simplify right side
    3,138.42x = 10,432,822.87
  5. Step 5: Solve for x
    x = 10,432,822.87/3,138.42
  6. Step 6: Final answer
    x = 3,324.23

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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.