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Finding the Fourth Proportional to 3,964.22, 5,470.72 and 2,195.90

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Solution

The fourth proportional to 3,964.22, 5,470.72 and 2,195.90 is: 3,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.22 : 5,470.72 = 2,195.90 : x
  2. Step 2: Convert to fraction form
    3,964.22/5,470.72 = 2,195.90/x
  3. Step 3: Cross multiply
    3,964.22x = 5,470.72 × 2,195.90
  4. Step 4: Simplify right side
    3,964.22x = 12,013,154.05
  5. Step 5: Solve for x
    x = 12,013,154.05/3,964.22
  6. Step 6: Final answer
    x = 3,030.40

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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.