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Finding the Fourth Proportional to 7,978.33, 11,967.15 and 2,713.14

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Solution

The fourth proportional to 7,978.33, 11,967.15 and 2,713.14 is: 4,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.33 : 11,967.15 = 2,713.14 : x
  2. Step 2: Convert to fraction form
    7,978.33/11,967.15 = 2,713.14/x
  3. Step 3: Cross multiply
    7,978.33x = 11,967.15 × 2,713.14
  4. Step 4: Simplify right side
    7,978.33x = 32,468,553.35
  5. Step 5: Solve for x
    x = 32,468,553.35/7,978.33
  6. Step 6: Final answer
    x = 4,069.59

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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.