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Finding the Fourth Proportional to 5,354.75, 8,028.75 and 2,582.12

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Solution

The fourth proportional to 5,354.75, 8,028.75 and 2,582.12 is: 3,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.75 : 8,028.75 = 2,582.12 : x
  2. Step 2: Convert to fraction form
    5,354.75/8,028.75 = 2,582.12/x
  3. Step 3: Cross multiply
    5,354.75x = 8,028.75 × 2,582.12
  4. Step 4: Simplify right side
    5,354.75x = 20,731,195.95
  5. Step 5: Solve for x
    x = 20,731,195.95/5,354.75
  6. Step 6: Final answer
    x = 3,871.55

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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.