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Finding the Fourth Proportional to 5,502.78, 8,255.19 and 1,805.22

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Solution

The fourth proportional to 5,502.78, 8,255.19 and 1,805.22 is: 2,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.78 : 8,255.19 = 1,805.22 : x
  2. Step 2: Convert to fraction form
    5,502.78/8,255.19 = 1,805.22/x
  3. Step 3: Cross multiply
    5,502.78x = 8,255.19 × 1,805.22
  4. Step 4: Simplify right side
    5,502.78x = 14,902,434.09
  5. Step 5: Solve for x
    x = 14,902,434.09/5,502.78
  6. Step 6: Final answer
    x = 2,708.16

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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.