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Finding the Fourth Proportional to 2,193.29, 3,291.63 and 807.96

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Solution

The fourth proportional to 2,193.29, 3,291.63 and 807.96 is: 1,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.29 : 3,291.63 = 807.96 : x
  2. Step 2: Convert to fraction form
    2,193.29/3,291.63 = 807.96/x
  3. Step 3: Cross multiply
    2,193.29x = 3,291.63 × 807.96
  4. Step 4: Simplify right side
    2,193.29x = 2,659,505.37
  5. Step 5: Solve for x
    x = 2,659,505.37/2,193.29
  6. Step 6: Final answer
    x = 1,212.57

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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.