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Finding the Fourth Proportional to 6,419.33, 8,853.57 and 3,901.38

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Solution

The fourth proportional to 6,419.33, 8,853.57 and 3,901.38 is: 5,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.33 : 8,853.57 = 3,901.38 : x
  2. Step 2: Convert to fraction form
    6,419.33/8,853.57 = 3,901.38/x
  3. Step 3: Cross multiply
    6,419.33x = 8,853.57 × 3,901.38
  4. Step 4: Simplify right side
    6,419.33x = 34,541,140.93
  5. Step 5: Solve for x
    x = 34,541,140.93/6,419.33
  6. Step 6: Final answer
    x = 5,380.81

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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.