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Finding the Fourth Proportional to 7,743, 11,620.62 and 2,814.06

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Solution

The fourth proportional to 7,743, 11,620.62 and 2,814.06 is: 4,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743 : 11,620.62 = 2,814.06 : x
  2. Step 2: Convert to fraction form
    7,743/11,620.62 = 2,814.06/x
  3. Step 3: Cross multiply
    7,743x = 11,620.62 × 2,814.06
  4. Step 4: Simplify right side
    7,743x = 32,701,121.92
  5. Step 5: Solve for x
    x = 32,701,121.92/7,743
  6. Step 6: Final answer
    x = 4,223.31

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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.