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Finding the Fourth Proportional to 2,354.43, 3,529.49 and 814.35

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Solution

The fourth proportional to 2,354.43, 3,529.49 and 814.35 is: 1,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.43 : 3,529.49 = 814.35 : x
  2. Step 2: Convert to fraction form
    2,354.43/3,529.49 = 814.35/x
  3. Step 3: Cross multiply
    2,354.43x = 3,529.49 × 814.35
  4. Step 4: Simplify right side
    2,354.43x = 2,874,240.18
  5. Step 5: Solve for x
    x = 2,874,240.18/2,354.43
  6. Step 6: Final answer
    x = 1,220.78

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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.