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Finding the Fourth Proportional to 7,964.45, 10,991.22 and 4,379.68

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Solution

The fourth proportional to 7,964.45, 10,991.22 and 4,379.68 is: 6,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.45 : 10,991.22 = 4,379.68 : x
  2. Step 2: Convert to fraction form
    7,964.45/10,991.22 = 4,379.68/x
  3. Step 3: Cross multiply
    7,964.45x = 10,991.22 × 4,379.68
  4. Step 4: Simplify right side
    7,964.45x = 48,138,048.36
  5. Step 5: Solve for x
    x = 48,138,048.36/7,964.45
  6. Step 6: Final answer
    x = 6,044.12

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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.