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Finding the Fourth Proportional to 2,857.50, 4,285.49 and 1,008.38

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Solution

The fourth proportional to 2,857.50, 4,285.49 and 1,008.38 is: 1,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.50 : 4,285.49 = 1,008.38 : x
  2. Step 2: Convert to fraction form
    2,857.50/4,285.49 = 1,008.38/x
  3. Step 3: Cross multiply
    2,857.50x = 4,285.49 × 1,008.38
  4. Step 4: Simplify right side
    2,857.50x = 4,321,375.94
  5. Step 5: Solve for x
    x = 4,321,375.94/2,857.50
  6. Step 6: Final answer
    x = 1,512.29

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1.5x scale

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.