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Finding the Fourth Proportional to 7,449.90, 11,161.71 and 3,932.16

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Solution

The fourth proportional to 7,449.90, 11,161.71 and 3,932.16 is: 5,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.90 : 11,161.71 = 3,932.16 : x
  2. Step 2: Convert to fraction form
    7,449.90/11,161.71 = 3,932.16/x
  3. Step 3: Cross multiply
    7,449.90x = 11,161.71 × 3,932.16
  4. Step 4: Simplify right side
    7,449.90x = 43,889,573.79
  5. Step 5: Solve for x
    x = 43,889,573.79/7,449.90
  6. Step 6: Final answer
    x = 5,891.30

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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.