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Finding the Fourth Proportional to 2,857.54, 4,279.82 and 2,569.18

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Solution

The fourth proportional to 2,857.54, 4,279.82 and 2,569.18 is: 3,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.54 : 4,279.82 = 2,569.18 : x
  2. Step 2: Convert to fraction form
    2,857.54/4,279.82 = 2,569.18/x
  3. Step 3: Cross multiply
    2,857.54x = 4,279.82 × 2,569.18
  4. Step 4: Simplify right side
    2,857.54x = 10,995,627.95
  5. Step 5: Solve for x
    x = 10,995,627.95/2,857.54
  6. Step 6: Final answer
    x = 3,847.93

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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.