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Finding the Fourth Proportional to 9,906.62, 13,662.41 and 6,129.18

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Solution

The fourth proportional to 9,906.62, 13,662.41 and 6,129.18 is: 8,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.62 : 13,662.41 = 6,129.18 : x
  2. Step 2: Convert to fraction form
    9,906.62/13,662.41 = 6,129.18/x
  3. Step 3: Cross multiply
    9,906.62x = 13,662.41 × 6,129.18
  4. Step 4: Simplify right side
    9,906.62x = 83,739,339.48
  5. Step 5: Solve for x
    x = 83,739,339.48/9,906.62
  6. Step 6: Final answer
    x = 8,452.87

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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.