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Finding the Fourth Proportional to 8,143.80, 11,240.10 and 7,589.76

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Solution

The fourth proportional to 8,143.80, 11,240.10 and 7,589.76 is: 10,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.80 : 11,240.10 = 7,589.76 : x
  2. Step 2: Convert to fraction form
    8,143.80/11,240.10 = 7,589.76/x
  3. Step 3: Cross multiply
    8,143.80x = 11,240.10 × 7,589.76
  4. Step 4: Simplify right side
    8,143.80x = 85,309,661.38
  5. Step 5: Solve for x
    x = 85,309,661.38/8,143.80
  6. Step 6: Final answer
    x = 10,475.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.