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Finding the Fourth Proportional to 5,978.43, 8,963.79 and 2,278.64

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Solution

The fourth proportional to 5,978.43, 8,963.79 and 2,278.64 is: 3,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.43 : 8,963.79 = 2,278.64 : x
  2. Step 2: Convert to fraction form
    5,978.43/8,963.79 = 2,278.64/x
  3. Step 3: Cross multiply
    5,978.43x = 8,963.79 × 2,278.64
  4. Step 4: Simplify right side
    5,978.43x = 20,425,194.23
  5. Step 5: Solve for x
    x = 20,425,194.23/5,978.43
  6. Step 6: Final answer
    x = 3,416.48

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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.