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Finding the Fourth Proportional to 8,642.11, 12,972.03 and 5,362.96

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Solution

The fourth proportional to 8,642.11, 12,972.03 and 5,362.96 is: 8,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.11 : 12,972.03 = 5,362.96 : x
  2. Step 2: Convert to fraction form
    8,642.11/12,972.03 = 5,362.96/x
  3. Step 3: Cross multiply
    8,642.11x = 12,972.03 × 5,362.96
  4. Step 4: Simplify right side
    8,642.11x = 69,568,478.01
  5. Step 5: Solve for x
    x = 69,568,478.01/8,642.11
  6. Step 6: Final answer
    x = 8,049.94

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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.