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Finding the Fourth Proportional to 2,927.71, 4,391.57 and 736.43

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Solution

The fourth proportional to 2,927.71, 4,391.57 and 736.43 is: 1,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.71 : 4,391.57 = 736.43 : x
  2. Step 2: Convert to fraction form
    2,927.71/4,391.57 = 736.43/x
  3. Step 3: Cross multiply
    2,927.71x = 4,391.57 × 736.43
  4. Step 4: Simplify right side
    2,927.71x = 3,234,063.78
  5. Step 5: Solve for x
    x = 3,234,063.78/2,927.71
  6. Step 6: Final answer
    x = 1,104.64

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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.