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Finding the Fourth Proportional to 8,211.88, 12,314.94 and 5,087.11

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Solution

The fourth proportional to 8,211.88, 12,314.94 and 5,087.11 is: 7,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.88 : 12,314.94 = 5,087.11 : x
  2. Step 2: Convert to fraction form
    8,211.88/12,314.94 = 5,087.11/x
  3. Step 3: Cross multiply
    8,211.88x = 12,314.94 × 5,087.11
  4. Step 4: Simplify right side
    8,211.88x = 62,647,454.42
  5. Step 5: Solve for x
    x = 62,647,454.42/8,211.88
  6. Step 6: Final answer
    x = 7,628.88

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1.5x scale

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.