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Finding the Fourth Proportional to 5,978.90, 8,960.96 and 2,078.76

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Solution

The fourth proportional to 5,978.90, 8,960.96 and 2,078.76 is: 3,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.90 : 8,960.96 = 2,078.76 : x
  2. Step 2: Convert to fraction form
    5,978.90/8,960.96 = 2,078.76/x
  3. Step 3: Cross multiply
    5,978.90x = 8,960.96 × 2,078.76
  4. Step 4: Simplify right side
    5,978.90x = 18,627,685.21
  5. Step 5: Solve for x
    x = 18,627,685.21/5,978.90
  6. Step 6: Final answer
    x = 3,115.57

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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.