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Finding the Fourth Proportional to 2,199.78, 3,296.79 and 965.79

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Solution

The fourth proportional to 2,199.78, 3,296.79 and 965.79 is: 1,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.78 : 3,296.79 = 965.79 : x
  2. Step 2: Convert to fraction form
    2,199.78/3,296.79 = 965.79/x
  3. Step 3: Cross multiply
    2,199.78x = 3,296.79 × 965.79
  4. Step 4: Simplify right side
    2,199.78x = 3,184,006.81
  5. Step 5: Solve for x
    x = 3,184,006.81/2,199.78
  6. Step 6: Final answer
    x = 1,447.42

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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.