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Finding the Fourth Proportional to 3,874.75, 5,342.16 and 3,165.87

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Solution

The fourth proportional to 3,874.75, 5,342.16 and 3,165.87 is: 4,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.75 : 5,342.16 = 3,165.87 : x
  2. Step 2: Convert to fraction form
    3,874.75/5,342.16 = 3,165.87/x
  3. Step 3: Cross multiply
    3,874.75x = 5,342.16 × 3,165.87
  4. Step 4: Simplify right side
    3,874.75x = 16,912,584.08
  5. Step 5: Solve for x
    x = 16,912,584.08/3,874.75
  6. Step 6: Final answer
    x = 4,364.82

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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.