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Finding the Fourth Proportional to 3,964.36, 5,470.36 and 2,195.76

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Solution

The fourth proportional to 3,964.36, 5,470.36 and 2,195.76 is: 3,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.36 : 5,470.36 = 2,195.76 : x
  2. Step 2: Convert to fraction form
    3,964.36/5,470.36 = 2,195.76/x
  3. Step 3: Cross multiply
    3,964.36x = 5,470.36 × 2,195.76
  4. Step 4: Simplify right side
    3,964.36x = 12,011,597.67
  5. Step 5: Solve for x
    x = 12,011,597.67/3,964.36
  6. Step 6: Final answer
    x = 3,029.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.