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Finding the Fourth Proportional to 5,978.20, 8,964.60 and 2,689.60

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Solution

The fourth proportional to 5,978.20, 8,964.60 and 2,689.60 is: 4,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.20 : 8,964.60 = 2,689.60 : x
  2. Step 2: Convert to fraction form
    5,978.20/8,964.60 = 2,689.60/x
  3. Step 3: Cross multiply
    5,978.20x = 8,964.60 × 2,689.60
  4. Step 4: Simplify right side
    5,978.20x = 24,111,188.16
  5. Step 5: Solve for x
    x = 24,111,188.16/5,978.20
  6. Step 6: Final answer
    x = 4,033.19

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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.