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Finding the Fourth Proportional to 6,407.84, 9,614.64 and 3,481.76

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Solution

The fourth proportional to 6,407.84, 9,614.64 and 3,481.76 is: 5,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.84 : 9,614.64 = 3,481.76 : x
  2. Step 2: Convert to fraction form
    6,407.84/9,614.64 = 3,481.76/x
  3. Step 3: Cross multiply
    6,407.84x = 9,614.64 × 3,481.76
  4. Step 4: Simplify right side
    6,407.84x = 33,475,868.97
  5. Step 5: Solve for x
    x = 33,475,868.97/6,407.84
  6. Step 6: Final answer
    x = 5,224.20

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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.