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Finding the Fourth Proportional to 2,675.35, 4,013.61 and 920.49

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Solution

The fourth proportional to 2,675.35, 4,013.61 and 920.49 is: 1,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.35 : 4,013.61 = 920.49 : x
  2. Step 2: Convert to fraction form
    2,675.35/4,013.61 = 920.49/x
  3. Step 3: Cross multiply
    2,675.35x = 4,013.61 × 920.49
  4. Step 4: Simplify right side
    2,675.35x = 3,694,487.87
  5. Step 5: Solve for x
    x = 3,694,487.87/2,675.35
  6. Step 6: Final answer
    x = 1,380.94

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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.