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Finding the Fourth Proportional to 12,251.68, 16,901.86 and 8,164.40

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Solution

The fourth proportional to 12,251.68, 16,901.86 and 8,164.40 is: 11,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.68 : 16,901.86 = 8,164.40 : x
  2. Step 2: Convert to fraction form
    12,251.68/16,901.86 = 8,164.40/x
  3. Step 3: Cross multiply
    12,251.68x = 16,901.86 × 8,164.40
  4. Step 4: Simplify right side
    12,251.68x = 137,993,545.78
  5. Step 5: Solve for x
    x = 137,993,545.78/12,251.68
  6. Step 6: Final answer
    x = 11,263.23

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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.