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Finding the Fourth Proportional to 13,700.97, 18,906.25 and 8,395.06

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Solution

The fourth proportional to 13,700.97, 18,906.25 and 8,395.06 is: 11,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.97 : 18,906.25 = 8,395.06 : x
  2. Step 2: Convert to fraction form
    13,700.97/18,906.25 = 8,395.06/x
  3. Step 3: Cross multiply
    13,700.97x = 18,906.25 × 8,395.06
  4. Step 4: Simplify right side
    13,700.97x = 158,719,103.13
  5. Step 5: Solve for x
    x = 158,719,103.13/13,700.97
  6. Step 6: Final answer
    x = 11,584.52

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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.