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Finding the Fourth Proportional to 7,978.44, 11,966.82 and 2,135.64

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Solution

The fourth proportional to 7,978.44, 11,966.82 and 2,135.64 is: 3,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.44 : 11,966.82 = 2,135.64 : x
  2. Step 2: Convert to fraction form
    7,978.44/11,966.82 = 2,135.64/x
  3. Step 3: Cross multiply
    7,978.44x = 11,966.82 × 2,135.64
  4. Step 4: Simplify right side
    7,978.44x = 25,556,819.46
  5. Step 5: Solve for x
    x = 25,556,819.46/7,978.44
  6. Step 6: Final answer
    x = 3,203.24

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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.