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Finding the Fourth Proportional to 3,915.16, 5,863.78 and 1,967.92

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Solution

The fourth proportional to 3,915.16, 5,863.78 and 1,967.92 is: 2,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.16 : 5,863.78 = 1,967.92 : x
  2. Step 2: Convert to fraction form
    3,915.16/5,863.78 = 1,967.92/x
  3. Step 3: Cross multiply
    3,915.16x = 5,863.78 × 1,967.92
  4. Step 4: Simplify right side
    3,915.16x = 11,539,449.94
  5. Step 5: Solve for x
    x = 11,539,449.94/3,915.16
  6. Step 6: Final answer
    x = 2,947.38

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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.