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Finding the Fourth Proportional to 2,553.46, 3,829.92 and 909.97

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Solution

The fourth proportional to 2,553.46, 3,829.92 and 909.97 is: 1,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.46 : 3,829.92 = 909.97 : x
  2. Step 2: Convert to fraction form
    2,553.46/3,829.92 = 909.97/x
  3. Step 3: Cross multiply
    2,553.46x = 3,829.92 × 909.97
  4. Step 4: Simplify right side
    2,553.46x = 3,485,112.30
  5. Step 5: Solve for x
    x = 3,485,112.30/2,553.46
  6. Step 6: Final answer
    x = 1,364.86

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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.