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Finding the Fourth Proportional to 2,480.92, 3,722.29 and 1,788.37

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Solution

The fourth proportional to 2,480.92, 3,722.29 and 1,788.37 is: 2,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.92 : 3,722.29 = 1,788.37 : x
  2. Step 2: Convert to fraction form
    2,480.92/3,722.29 = 1,788.37/x
  3. Step 3: Cross multiply
    2,480.92x = 3,722.29 × 1,788.37
  4. Step 4: Simplify right side
    2,480.92x = 6,656,813.52
  5. Step 5: Solve for x
    x = 6,656,813.52/2,480.92
  6. Step 6: Final answer
    x = 2,683.21

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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.