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Finding the Fourth Proportional to 12,843.97, 17,720.67 and 7,177.92

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Solution

The fourth proportional to 12,843.97, 17,720.67 and 7,177.92 is: 9,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.97 : 17,720.67 = 7,177.92 : x
  2. Step 2: Convert to fraction form
    12,843.97/17,720.67 = 7,177.92/x
  3. Step 3: Cross multiply
    12,843.97x = 17,720.67 × 7,177.92
  4. Step 4: Simplify right side
    12,843.97x = 127,197,512.07
  5. Step 5: Solve for x
    x = 127,197,512.07/12,843.97
  6. Step 6: Final answer
    x = 9,903.29

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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.