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Finding the Fourth Proportional to 2,863.76, 4,301.10 and 1,770.26

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Solution

The fourth proportional to 2,863.76, 4,301.10 and 1,770.26 is: 2,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.76 : 4,301.10 = 1,770.26 : x
  2. Step 2: Convert to fraction form
    2,863.76/4,301.10 = 1,770.26/x
  3. Step 3: Cross multiply
    2,863.76x = 4,301.10 × 1,770.26
  4. Step 4: Simplify right side
    2,863.76x = 7,614,043.78
  5. Step 5: Solve for x
    x = 7,614,043.78/2,863.76
  6. Step 6: Final answer
    x = 2,658.76

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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.