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Finding the Fourth Proportional to 8,082.22, 12,116 and 2,886.88

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Solution

The fourth proportional to 8,082.22, 12,116 and 2,886.88 is: 4,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.22 : 12,116 = 2,886.88 : x
  2. Step 2: Convert to fraction form
    8,082.22/12,116 = 2,886.88/x
  3. Step 3: Cross multiply
    8,082.22x = 12,116 × 2,886.88
  4. Step 4: Simplify right side
    8,082.22x = 34,977,438.08
  5. Step 5: Solve for x
    x = 34,977,438.08/8,082.22
  6. Step 6: Final answer
    x = 4,327.70

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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.