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Finding the Fourth Proportional to 2,522.78, 3,784.18 and 673.90

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Solution

The fourth proportional to 2,522.78, 3,784.18 and 673.90 is: 1,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.78 : 3,784.18 = 673.90 : x
  2. Step 2: Convert to fraction form
    2,522.78/3,784.18 = 673.90/x
  3. Step 3: Cross multiply
    2,522.78x = 3,784.18 × 673.90
  4. Step 4: Simplify right side
    2,522.78x = 2,550,158.90
  5. Step 5: Solve for x
    x = 2,550,158.90/2,522.78
  6. Step 6: Final answer
    x = 1,010.85

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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.