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Finding the Fourth Proportional to 2,195.37, 3,291.03 and 808.38

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Solution

The fourth proportional to 2,195.37, 3,291.03 and 808.38 is: 1,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.37 : 3,291.03 = 808.38 : x
  2. Step 2: Convert to fraction form
    2,195.37/3,291.03 = 808.38/x
  3. Step 3: Cross multiply
    2,195.37x = 3,291.03 × 808.38
  4. Step 4: Simplify right side
    2,195.37x = 2,660,402.83
  5. Step 5: Solve for x
    x = 2,660,402.83/2,195.37
  6. Step 6: Final answer
    x = 1,211.82

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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.