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Finding the Fourth Proportional to 12,169.83, 16,797.42 and 6,867.70

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Solution

The fourth proportional to 12,169.83, 16,797.42 and 6,867.70 is: 9,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.83 : 16,797.42 = 6,867.70 : x
  2. Step 2: Convert to fraction form
    12,169.83/16,797.42 = 6,867.70/x
  3. Step 3: Cross multiply
    12,169.83x = 16,797.42 × 6,867.70
  4. Step 4: Simplify right side
    12,169.83x = 115,359,641.33
  5. Step 5: Solve for x
    x = 115,359,641.33/12,169.83
  6. Step 6: Final answer
    x = 9,479.15

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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.