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Finding the Fourth Proportional to 2,645.50, 3,967.28 and 1,183.90

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Solution

The fourth proportional to 2,645.50, 3,967.28 and 1,183.90 is: 1,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.50 : 3,967.28 = 1,183.90 : x
  2. Step 2: Convert to fraction form
    2,645.50/3,967.28 = 1,183.90/x
  3. Step 3: Cross multiply
    2,645.50x = 3,967.28 × 1,183.90
  4. Step 4: Simplify right side
    2,645.50x = 4,696,862.79
  5. Step 5: Solve for x
    x = 4,696,862.79/2,645.50
  6. Step 6: Final answer
    x = 1,775.42

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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.