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Finding the Fourth Proportional to 2,268.81, 3,402.85 and 882.78

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Solution

The fourth proportional to 2,268.81, 3,402.85 and 882.78 is: 1,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.81 : 3,402.85 = 882.78 : x
  2. Step 2: Convert to fraction form
    2,268.81/3,402.85 = 882.78/x
  3. Step 3: Cross multiply
    2,268.81x = 3,402.85 × 882.78
  4. Step 4: Simplify right side
    2,268.81x = 3,003,946.49
  5. Step 5: Solve for x
    x = 3,003,946.49/2,268.81
  6. Step 6: Final answer
    x = 1,324.02

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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.