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Finding the Fourth Proportional to 10,561.96, 15,847.17 and 3,989.98

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Solution

The fourth proportional to 10,561.96, 15,847.17 and 3,989.98 is: 5,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.96 : 15,847.17 = 3,989.98 : x
  2. Step 2: Convert to fraction form
    10,561.96/15,847.17 = 3,989.98/x
  3. Step 3: Cross multiply
    10,561.96x = 15,847.17 × 3,989.98
  4. Step 4: Simplify right side
    10,561.96x = 63,229,891.36
  5. Step 5: Solve for x
    x = 63,229,891.36/10,561.96
  6. Step 6: Final answer
    x = 5,986.57

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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.