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Finding the Fourth Proportional to 8,967, 13,452.66 and 2,811

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Solution

The fourth proportional to 8,967, 13,452.66 and 2,811 is: 4,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967 : 13,452.66 = 2,811 : x
  2. Step 2: Convert to fraction form
    8,967/13,452.66 = 2,811/x
  3. Step 3: Cross multiply
    8,967x = 13,452.66 × 2,811
  4. Step 4: Simplify right side
    8,967x = 37,815,427.26
  5. Step 5: Solve for x
    x = 37,815,427.26/8,967
  6. Step 6: Final answer
    x = 4,217.18

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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.