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Finding the Fourth Proportional to 3,971.23, 5,964.13 and 3,479.15

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Solution

The fourth proportional to 3,971.23, 5,964.13 and 3,479.15 is: 5,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.23 : 5,964.13 = 3,479.15 : x
  2. Step 2: Convert to fraction form
    3,971.23/5,964.13 = 3,479.15/x
  3. Step 3: Cross multiply
    3,971.23x = 5,964.13 × 3,479.15
  4. Step 4: Simplify right side
    3,971.23x = 20,750,122.15
  5. Step 5: Solve for x
    x = 20,750,122.15/3,971.23
  6. Step 6: Final answer
    x = 5,225.12

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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.