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Finding the Fourth Proportional to 12,091.68, 16,686.80 and 6,786.90

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Solution

The fourth proportional to 12,091.68, 16,686.80 and 6,786.90 is: 9,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.68 : 16,686.80 = 6,786.90 : x
  2. Step 2: Convert to fraction form
    12,091.68/16,686.80 = 6,786.90/x
  3. Step 3: Cross multiply
    12,091.68x = 16,686.80 × 6,786.90
  4. Step 4: Simplify right side
    12,091.68x = 113,251,642.92
  5. Step 5: Solve for x
    x = 113,251,642.92/12,091.68
  6. Step 6: Final answer
    x = 9,366.08

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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.