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Finding the Fourth Proportional to 8,122.57, 11,209.19 and 4,396.57

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Solution

The fourth proportional to 8,122.57, 11,209.19 and 4,396.57 is: 6,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.57 : 11,209.19 = 4,396.57 : x
  2. Step 2: Convert to fraction form
    8,122.57/11,209.19 = 4,396.57/x
  3. Step 3: Cross multiply
    8,122.57x = 11,209.19 × 4,396.57
  4. Step 4: Simplify right side
    8,122.57x = 49,281,938.47
  5. Step 5: Solve for x
    x = 49,281,938.47/8,122.57
  6. Step 6: Final answer
    x = 6,067.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.