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Finding the Fourth Proportional to 6,886.65, 10,321.22 and 3,375.81

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Solution

The fourth proportional to 6,886.65, 10,321.22 and 3,375.81 is: 5,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.65 : 10,321.22 = 3,375.81 : x
  2. Step 2: Convert to fraction form
    6,886.65/10,321.22 = 3,375.81/x
  3. Step 3: Cross multiply
    6,886.65x = 10,321.22 × 3,375.81
  4. Step 4: Simplify right side
    6,886.65x = 34,842,486.13
  5. Step 5: Solve for x
    x = 34,842,486.13/6,886.65
  6. Step 6: Final answer
    x = 5,059.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.