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Finding the Fourth Proportional to 5,980.90, 8,965.49 and 2,229.93

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Solution

The fourth proportional to 5,980.90, 8,965.49 and 2,229.93 is: 3,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.90 : 8,965.49 = 2,229.93 : x
  2. Step 2: Convert to fraction form
    5,980.90/8,965.49 = 2,229.93/x
  3. Step 3: Cross multiply
    5,980.90x = 8,965.49 × 2,229.93
  4. Step 4: Simplify right side
    5,980.90x = 19,992,412.33
  5. Step 5: Solve for x
    x = 19,992,412.33/5,980.90
  6. Step 6: Final answer
    x = 3,342.71

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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.