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Finding the Fourth Proportional to 8,338, 12,510.84 and 3,143.44

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Solution

The fourth proportional to 8,338, 12,510.84 and 3,143.44 is: 4,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338 : 12,510.84 = 3,143.44 : x
  2. Step 2: Convert to fraction form
    8,338/12,510.84 = 3,143.44/x
  3. Step 3: Cross multiply
    8,338x = 12,510.84 × 3,143.44
  4. Step 4: Simplify right side
    8,338x = 39,327,074.89
  5. Step 5: Solve for x
    x = 39,327,074.89/8,338
  6. Step 6: Final answer
    x = 4,716.61

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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.