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Finding the Fourth Proportional to 4,640.75, 6,943.69 and 3,256.79

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Solution

The fourth proportional to 4,640.75, 6,943.69 and 3,256.79 is: 4,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.75 : 6,943.69 = 3,256.79 : x
  2. Step 2: Convert to fraction form
    4,640.75/6,943.69 = 3,256.79/x
  3. Step 3: Cross multiply
    4,640.75x = 6,943.69 × 3,256.79
  4. Step 4: Simplify right side
    4,640.75x = 22,614,123.87
  5. Step 5: Solve for x
    x = 22,614,123.87/4,640.75
  6. Step 6: Final answer
    x = 4,872.95

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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.