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Finding the Fourth Proportional to 7,978.23, 11,972.21 and 3,596.13

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Solution

The fourth proportional to 7,978.23, 11,972.21 and 3,596.13 is: 5,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.23 : 11,972.21 = 3,596.13 : x
  2. Step 2: Convert to fraction form
    7,978.23/11,972.21 = 3,596.13/x
  3. Step 3: Cross multiply
    7,978.23x = 11,972.21 × 3,596.13
  4. Step 4: Simplify right side
    7,978.23x = 43,053,605.57
  5. Step 5: Solve for x
    x = 43,053,605.57/7,978.23
  6. Step 6: Final answer
    x = 5,396.39

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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.