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Finding the Fourth Proportional to 2,508.50, 3,763.54 and 1,123

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Solution

The fourth proportional to 2,508.50, 3,763.54 and 1,123 is: 1,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.50 : 3,763.54 = 1,123 : x
  2. Step 2: Convert to fraction form
    2,508.50/3,763.54 = 1,123/x
  3. Step 3: Cross multiply
    2,508.50x = 3,763.54 × 1,123
  4. Step 4: Simplify right side
    2,508.50x = 4,226,455.42
  5. Step 5: Solve for x
    x = 4,226,455.42/2,508.50
  6. Step 6: Final answer
    x = 1,684.85

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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.