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Finding the Fourth Proportional to 8,263.42, 12,391 and 2,716.14

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Solution

The fourth proportional to 8,263.42, 12,391 and 2,716.14 is: 4,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.42 : 12,391 = 2,716.14 : x
  2. Step 2: Convert to fraction form
    8,263.42/12,391 = 2,716.14/x
  3. Step 3: Cross multiply
    8,263.42x = 12,391 × 2,716.14
  4. Step 4: Simplify right side
    8,263.42x = 33,655,690.74
  5. Step 5: Solve for x
    x = 33,655,690.74/8,263.42
  6. Step 6: Final answer
    x = 4,072.85

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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.