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Finding the Fourth Proportional to 2,493.76, 3,738.04 and 849.76

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Solution

The fourth proportional to 2,493.76, 3,738.04 and 849.76 is: 1,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.76 : 3,738.04 = 849.76 : x
  2. Step 2: Convert to fraction form
    2,493.76/3,738.04 = 849.76/x
  3. Step 3: Cross multiply
    2,493.76x = 3,738.04 × 849.76
  4. Step 4: Simplify right side
    2,493.76x = 3,176,436.87
  5. Step 5: Solve for x
    x = 3,176,436.87/2,493.76
  6. Step 6: Final answer
    x = 1,273.75

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1.5x scale

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.