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Finding the Fourth Proportional to 8,082.50, 12,115.02 and 3,401.42

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Solution

The fourth proportional to 8,082.50, 12,115.02 and 3,401.42 is: 5,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.50 : 12,115.02 = 3,401.42 : x
  2. Step 2: Convert to fraction form
    8,082.50/12,115.02 = 3,401.42/x
  3. Step 3: Cross multiply
    8,082.50x = 12,115.02 × 3,401.42
  4. Step 4: Simplify right side
    8,082.50x = 41,208,271.33
  5. Step 5: Solve for x
    x = 41,208,271.33/8,082.50
  6. Step 6: Final answer
    x = 5,098.46

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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.