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Finding the Fourth Proportional to 10,559.72, 15,843.20 and 3,987.78

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Solution

The fourth proportional to 10,559.72, 15,843.20 and 3,987.78 is: 5,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.72 : 15,843.20 = 3,987.78 : x
  2. Step 2: Convert to fraction form
    10,559.72/15,843.20 = 3,987.78/x
  3. Step 3: Cross multiply
    10,559.72x = 15,843.20 × 3,987.78
  4. Step 4: Simplify right side
    10,559.72x = 63,179,176.16
  5. Step 5: Solve for x
    x = 63,179,176.16/10,559.72
  6. Step 6: Final answer
    x = 5,983.04

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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.