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Finding the Fourth Proportional to 2,582.20, 3,874.20 and 938.80

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Solution

The fourth proportional to 2,582.20, 3,874.20 and 938.80 is: 1,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.20 : 3,874.20 = 938.80 : x
  2. Step 2: Convert to fraction form
    2,582.20/3,874.20 = 938.80/x
  3. Step 3: Cross multiply
    2,582.20x = 3,874.20 × 938.80
  4. Step 4: Simplify right side
    2,582.20x = 3,637,098.96
  5. Step 5: Solve for x
    x = 3,637,098.96/2,582.20
  6. Step 6: Final answer
    x = 1,408.53

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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.