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Finding the Fourth Proportional to 16,406.75, 22,641.04 and 9,138.75

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Solution

The fourth proportional to 16,406.75, 22,641.04 and 9,138.75 is: 12,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.75 : 22,641.04 = 9,138.75 : x
  2. Step 2: Convert to fraction form
    16,406.75/22,641.04 = 9,138.75/x
  3. Step 3: Cross multiply
    16,406.75x = 22,641.04 × 9,138.75
  4. Step 4: Simplify right side
    16,406.75x = 206,910,758.61
  5. Step 5: Solve for x
    x = 206,910,758.61/16,406.75
  6. Step 6: Final answer
    x = 12,611.32

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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.