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Finding the Fourth Proportional to 7,978.71, 11,968.07 and 2,135.17

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Solution

The fourth proportional to 7,978.71, 11,968.07 and 2,135.17 is: 3,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.71 : 11,968.07 = 2,135.17 : x
  2. Step 2: Convert to fraction form
    7,978.71/11,968.07 = 2,135.17/x
  3. Step 3: Cross multiply
    7,978.71x = 11,968.07 × 2,135.17
  4. Step 4: Simplify right side
    7,978.71x = 25,553,853.35
  5. Step 5: Solve for x
    x = 25,553,853.35/7,978.71
  6. Step 6: Final answer
    x = 3,202.76

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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.