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Finding the Fourth Proportional to 2,748.79, 4,123.79 and 801.14

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Solution

The fourth proportional to 2,748.79, 4,123.79 and 801.14 is: 1,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.79 : 4,123.79 = 801.14 : x
  2. Step 2: Convert to fraction form
    2,748.79/4,123.79 = 801.14/x
  3. Step 3: Cross multiply
    2,748.79x = 4,123.79 × 801.14
  4. Step 4: Simplify right side
    2,748.79x = 3,303,732.44
  5. Step 5: Solve for x
    x = 3,303,732.44/2,748.79
  6. Step 6: Final answer
    x = 1,201.89

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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.