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Finding the Fourth Proportional to 5,481.88, 8,221.91 and 1,585.37

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Solution

The fourth proportional to 5,481.88, 8,221.91 and 1,585.37 is: 2,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.88 : 8,221.91 = 1,585.37 : x
  2. Step 2: Convert to fraction form
    5,481.88/8,221.91 = 1,585.37/x
  3. Step 3: Cross multiply
    5,481.88x = 8,221.91 × 1,585.37
  4. Step 4: Simplify right side
    5,481.88x = 13,034,782.08
  5. Step 5: Solve for x
    x = 13,034,782.08/5,481.88
  6. Step 6: Final answer
    x = 2,377.80

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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.