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Finding the Fourth Proportional to 8,138.16, 12,207.24 and 2,294.31

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Solution

The fourth proportional to 8,138.16, 12,207.24 and 2,294.31 is: 3,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.16 : 12,207.24 = 2,294.31 : x
  2. Step 2: Convert to fraction form
    8,138.16/12,207.24 = 2,294.31/x
  3. Step 3: Cross multiply
    8,138.16x = 12,207.24 × 2,294.31
  4. Step 4: Simplify right side
    8,138.16x = 28,007,192.80
  5. Step 5: Solve for x
    x = 28,007,192.80/8,138.16
  6. Step 6: Final answer
    x = 3,441.47

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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.