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Finding the Fourth Proportional to 3,876.28, 5,344.86 and 2,943.16

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Solution

The fourth proportional to 3,876.28, 5,344.86 and 2,943.16 is: 4,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.28 : 5,344.86 = 2,943.16 : x
  2. Step 2: Convert to fraction form
    3,876.28/5,344.86 = 2,943.16/x
  3. Step 3: Cross multiply
    3,876.28x = 5,344.86 × 2,943.16
  4. Step 4: Simplify right side
    3,876.28x = 15,730,778.16
  5. Step 5: Solve for x
    x = 15,730,778.16/3,876.28
  6. Step 6: Final answer
    x = 4,058.22

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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.