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Finding the Fourth Proportional to 2,583, 3,874.50 and 851.76

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Solution

The fourth proportional to 2,583, 3,874.50 and 851.76 is: 1,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583 : 3,874.50 = 851.76 : x
  2. Step 2: Convert to fraction form
    2,583/3,874.50 = 851.76/x
  3. Step 3: Cross multiply
    2,583x = 3,874.50 × 851.76
  4. Step 4: Simplify right side
    2,583x = 3,300,144.12
  5. Step 5: Solve for x
    x = 3,300,144.12/2,583
  6. Step 6: Final answer
    x = 1,277.64

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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.