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Finding the Fourth Proportional to 3,845.67, 5,770.29 and 1,995.78

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Solution

The fourth proportional to 3,845.67, 5,770.29 and 1,995.78 is: 2,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.67 : 5,770.29 = 1,995.78 : x
  2. Step 2: Convert to fraction form
    3,845.67/5,770.29 = 1,995.78/x
  3. Step 3: Cross multiply
    3,845.67x = 5,770.29 × 1,995.78
  4. Step 4: Simplify right side
    3,845.67x = 11,516,229.38
  5. Step 5: Solve for x
    x = 11,516,229.38/3,845.67
  6. Step 6: Final answer
    x = 2,994.60

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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.