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Finding the Fourth Proportional to 2,569.38, 3,853.90 and 814.34

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Solution

The fourth proportional to 2,569.38, 3,853.90 and 814.34 is: 1,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.38 : 3,853.90 = 814.34 : x
  2. Step 2: Convert to fraction form
    2,569.38/3,853.90 = 814.34/x
  3. Step 3: Cross multiply
    2,569.38x = 3,853.90 × 814.34
  4. Step 4: Simplify right side
    2,569.38x = 3,138,404.64
  5. Step 5: Solve for x
    x = 3,138,404.64/2,569.38
  6. Step 6: Final answer
    x = 1,221.46

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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.