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Finding the Fourth Proportional to 5,489.36, 8,229.00 and 1,978.51

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Solution

The fourth proportional to 5,489.36, 8,229.00 and 1,978.51 is: 2,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.36 : 8,229.00 = 1,978.51 : x
  2. Step 2: Convert to fraction form
    5,489.36/8,229.00 = 1,978.51/x
  3. Step 3: Cross multiply
    5,489.36x = 8,229.00 × 1,978.51
  4. Step 4: Simplify right side
    5,489.36x = 16,281,178.65
  5. Step 5: Solve for x
    x = 16,281,178.65/5,489.36
  6. Step 6: Final answer
    x = 2,965.95

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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.