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Finding the Fourth Proportional to 3,902.40, 5,854.48 and 1,820.88

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Solution

The fourth proportional to 3,902.40, 5,854.48 and 1,820.88 is: 2,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.40 : 5,854.48 = 1,820.88 : x
  2. Step 2: Convert to fraction form
    3,902.40/5,854.48 = 1,820.88/x
  3. Step 3: Cross multiply
    3,902.40x = 5,854.48 × 1,820.88
  4. Step 4: Simplify right side
    3,902.40x = 10,660,305.54
  5. Step 5: Solve for x
    x = 10,660,305.54/3,902.40
  6. Step 6: Final answer
    x = 2,731.73

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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.