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Finding the Fourth Proportional to 2,805.78, 4,204.92 and 2,153.31

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Solution

The fourth proportional to 2,805.78, 4,204.92 and 2,153.31 is: 3,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.78 : 4,204.92 = 2,153.31 : x
  2. Step 2: Convert to fraction form
    2,805.78/4,204.92 = 2,153.31/x
  3. Step 3: Cross multiply
    2,805.78x = 4,204.92 × 2,153.31
  4. Step 4: Simplify right side
    2,805.78x = 9,054,496.29
  5. Step 5: Solve for x
    x = 9,054,496.29/2,805.78
  6. Step 6: Final answer
    x = 3,227.09

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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.