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Finding the Fourth Proportional to 6,687.81, 10,040.91 and 3,403.11

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Solution

The fourth proportional to 6,687.81, 10,040.91 and 3,403.11 is: 5,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.81 : 10,040.91 = 3,403.11 : x
  2. Step 2: Convert to fraction form
    6,687.81/10,040.91 = 3,403.11/x
  3. Step 3: Cross multiply
    6,687.81x = 10,040.91 × 3,403.11
  4. Step 4: Simplify right side
    6,687.81x = 34,170,321.23
  5. Step 5: Solve for x
    x = 34,170,321.23/6,687.81
  6. Step 6: Final answer
    x = 5,109.34

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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.