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Finding the Fourth Proportional to 6,657.68, 9,187.44 and 3,863

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Solution

The fourth proportional to 6,657.68, 9,187.44 and 3,863 is: 5,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.68 : 9,187.44 = 3,863 : x
  2. Step 2: Convert to fraction form
    6,657.68/9,187.44 = 3,863/x
  3. Step 3: Cross multiply
    6,657.68x = 9,187.44 × 3,863
  4. Step 4: Simplify right side
    6,657.68x = 35,491,080.72
  5. Step 5: Solve for x
    x = 35,491,080.72/6,657.68
  6. Step 6: Final answer
    x = 5,330.85

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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.