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Finding the Fourth Proportional to 8,227.66, 11,343.87 and 6,866.88

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Solution

The fourth proportional to 8,227.66, 11,343.87 and 6,866.88 is: 9,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.66 : 11,343.87 = 6,866.88 : x
  2. Step 2: Convert to fraction form
    8,227.66/11,343.87 = 6,866.88/x
  3. Step 3: Cross multiply
    8,227.66x = 11,343.87 × 6,866.88
  4. Step 4: Simplify right side
    8,227.66x = 77,896,994.03
  5. Step 5: Solve for x
    x = 77,896,994.03/8,227.66
  6. Step 6: Final answer
    x = 9,467.70

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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.