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Finding the Fourth Proportional to 6,939.84, 10,405.92 and 3,237.84

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Solution

The fourth proportional to 6,939.84, 10,405.92 and 3,237.84 is: 4,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.84 : 10,405.92 = 3,237.84 : x
  2. Step 2: Convert to fraction form
    6,939.84/10,405.92 = 3,237.84/x
  3. Step 3: Cross multiply
    6,939.84x = 10,405.92 × 3,237.84
  4. Step 4: Simplify right side
    6,939.84x = 33,692,704.01
  5. Step 5: Solve for x
    x = 33,692,704.01/6,939.84
  6. Step 6: Final answer
    x = 4,854.97

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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.