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Finding the Fourth Proportional to 7,978.24, 11,968.32 and 2,135.04

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Solution

The fourth proportional to 7,978.24, 11,968.32 and 2,135.04 is: 3,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.24 : 11,968.32 = 2,135.04 : x
  2. Step 2: Convert to fraction form
    7,978.24/11,968.32 = 2,135.04/x
  3. Step 3: Cross multiply
    7,978.24x = 11,968.32 × 2,135.04
  4. Step 4: Simplify right side
    7,978.24x = 25,552,841.93
  5. Step 5: Solve for x
    x = 25,552,841.93/7,978.24
  6. Step 6: Final answer
    x = 3,202.82

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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.