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Finding the Fourth Proportional to 6,491.81, 9,741.15 and 4,153.11

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Solution

The fourth proportional to 6,491.81, 9,741.15 and 4,153.11 is: 6,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.81 : 9,741.15 = 4,153.11 : x
  2. Step 2: Convert to fraction form
    6,491.81/9,741.15 = 4,153.11/x
  3. Step 3: Cross multiply
    6,491.81x = 9,741.15 × 4,153.11
  4. Step 4: Simplify right side
    6,491.81x = 40,456,067.48
  5. Step 5: Solve for x
    x = 40,456,067.48/6,491.81
  6. Step 6: Final answer
    x = 6,231.87

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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.