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Finding the Fourth Proportional to 2,857.78, 4,285.64 and 1,214.44

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Solution

The fourth proportional to 2,857.78, 4,285.64 and 1,214.44 is: 1,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.78 : 4,285.64 = 1,214.44 : x
  2. Step 2: Convert to fraction form
    2,857.78/4,285.64 = 1,214.44/x
  3. Step 3: Cross multiply
    2,857.78x = 4,285.64 × 1,214.44
  4. Step 4: Simplify right side
    2,857.78x = 5,204,652.64
  5. Step 5: Solve for x
    x = 5,204,652.64/2,857.78
  6. Step 6: Final answer
    x = 1,821.22

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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.