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Finding the Fourth Proportional to 2,279.92, 3,420.09 and 893.37

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Solution

The fourth proportional to 2,279.92, 3,420.09 and 893.37 is: 1,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.92 : 3,420.09 = 893.37 : x
  2. Step 2: Convert to fraction form
    2,279.92/3,420.09 = 893.37/x
  3. Step 3: Cross multiply
    2,279.92x = 3,420.09 × 893.37
  4. Step 4: Simplify right side
    2,279.92x = 3,055,405.80
  5. Step 5: Solve for x
    x = 3,055,405.80/2,279.92
  6. Step 6: Final answer
    x = 1,340.14

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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.