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Finding the Fourth Proportional to 12,963.62, 17,863.26 and 12,147.14

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Solution

The fourth proportional to 12,963.62, 17,863.26 and 12,147.14 is: 16,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.62 : 17,863.26 = 12,147.14 : x
  2. Step 2: Convert to fraction form
    12,963.62/17,863.26 = 12,147.14/x
  3. Step 3: Cross multiply
    12,963.62x = 17,863.26 × 12,147.14
  4. Step 4: Simplify right side
    12,963.62x = 216,987,520.08
  5. Step 5: Solve for x
    x = 216,987,520.08/12,963.62
  6. Step 6: Final answer
    x = 16,738.19

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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.