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Finding the Fourth Proportional to 7,919.46, 11,878.92 and 3,761.46

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Solution

The fourth proportional to 7,919.46, 11,878.92 and 3,761.46 is: 5,642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.46 : 11,878.92 = 3,761.46 : x
  2. Step 2: Convert to fraction form
    7,919.46/11,878.92 = 3,761.46/x
  3. Step 3: Cross multiply
    7,919.46x = 11,878.92 × 3,761.46
  4. Step 4: Simplify right side
    7,919.46x = 44,682,082.42
  5. Step 5: Solve for x
    x = 44,682,082.42/7,919.46
  6. Step 6: Final answer
    x = 5,642.06

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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.