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Finding the Fourth Proportional to 12,901.22, 17,807.46 and 8,425.66

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Solution

The fourth proportional to 12,901.22, 17,807.46 and 8,425.66 is: 11,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.22 : 17,807.46 = 8,425.66 : x
  2. Step 2: Convert to fraction form
    12,901.22/17,807.46 = 8,425.66/x
  3. Step 3: Cross multiply
    12,901.22x = 17,807.46 × 8,425.66
  4. Step 4: Simplify right side
    12,901.22x = 150,039,594.09
  5. Step 5: Solve for x
    x = 150,039,594.09/12,901.22
  6. Step 6: Final answer
    x = 11,629.88

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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.