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Finding the Fourth Proportional to 3,713.44, 5,125.44 and 2,142.16

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Solution

The fourth proportional to 3,713.44, 5,125.44 and 2,142.16 is: 2,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.44 : 5,125.44 = 2,142.16 : x
  2. Step 2: Convert to fraction form
    3,713.44/5,125.44 = 2,142.16/x
  3. Step 3: Cross multiply
    3,713.44x = 5,125.44 × 2,142.16
  4. Step 4: Simplify right side
    3,713.44x = 10,979,512.55
  5. Step 5: Solve for x
    x = 10,979,512.55/3,713.44
  6. Step 6: Final answer
    x = 2,956.70

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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.