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Finding the Fourth Proportional to 2,748.81, 4,123.26 and 801

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Solution

The fourth proportional to 2,748.81, 4,123.26 and 801 is: 1,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.81 : 4,123.26 = 801 : x
  2. Step 2: Convert to fraction form
    2,748.81/4,123.26 = 801/x
  3. Step 3: Cross multiply
    2,748.81x = 4,123.26 × 801
  4. Step 4: Simplify right side
    2,748.81x = 3,302,731.26
  5. Step 5: Solve for x
    x = 3,302,731.26/2,748.81
  6. Step 6: Final answer
    x = 1,201.51

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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.