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Finding the Fourth Proportional to 3,902.54, 5,855.42 and 2,053.20

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Solution

The fourth proportional to 3,902.54, 5,855.42 and 2,053.20 is: 3,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.54 : 5,855.42 = 2,053.20 : x
  2. Step 2: Convert to fraction form
    3,902.54/5,855.42 = 2,053.20/x
  3. Step 3: Cross multiply
    3,902.54x = 5,855.42 × 2,053.20
  4. Step 4: Simplify right side
    3,902.54x = 12,022,348.34
  5. Step 5: Solve for x
    x = 12,022,348.34/3,902.54
  6. Step 6: Final answer
    x = 3,080.65

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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.