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Finding the Fourth Proportional to 3,971.69, 5,956.62 and 1,505.85

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Solution

The fourth proportional to 3,971.69, 5,956.62 and 1,505.85 is: 2,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.69 : 5,956.62 = 1,505.85 : x
  2. Step 2: Convert to fraction form
    3,971.69/5,956.62 = 1,505.85/x
  3. Step 3: Cross multiply
    3,971.69x = 5,956.62 × 1,505.85
  4. Step 4: Simplify right side
    3,971.69x = 8,969,776.23
  5. Step 5: Solve for x
    x = 8,969,776.23/3,971.69
  6. Step 6: Final answer
    x = 2,258.43

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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.