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Finding the Fourth Proportional to 10,618.61, 15,928.15 and 3,863.97

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Solution

The fourth proportional to 10,618.61, 15,928.15 and 3,863.97 is: 5,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.61 : 15,928.15 = 3,863.97 : x
  2. Step 2: Convert to fraction form
    10,618.61/15,928.15 = 3,863.97/x
  3. Step 3: Cross multiply
    10,618.61x = 15,928.15 × 3,863.97
  4. Step 4: Simplify right side
    10,618.61x = 61,545,893.76
  5. Step 5: Solve for x
    x = 61,545,893.76/10,618.61
  6. Step 6: Final answer
    x = 5,796.04

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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.