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Finding the Fourth Proportional to 8,117.77, 11,202.83 and 6,700.78

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Solution

The fourth proportional to 8,117.77, 11,202.83 and 6,700.78 is: 9,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.77 : 11,202.83 = 6,700.78 : x
  2. Step 2: Convert to fraction form
    8,117.77/11,202.83 = 6,700.78/x
  3. Step 3: Cross multiply
    8,117.77x = 11,202.83 × 6,700.78
  4. Step 4: Simplify right side
    8,117.77x = 75,067,660.66
  5. Step 5: Solve for x
    x = 75,067,660.66/8,117.77
  6. Step 6: Final answer
    x = 9,247.33

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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.