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Finding the Fourth Proportional to 2,279.52, 3,419.28 and 893.52

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Solution

The fourth proportional to 2,279.52, 3,419.28 and 893.52 is: 1,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.52 : 3,419.28 = 893.52 : x
  2. Step 2: Convert to fraction form
    2,279.52/3,419.28 = 893.52/x
  3. Step 3: Cross multiply
    2,279.52x = 3,419.28 × 893.52
  4. Step 4: Simplify right side
    2,279.52x = 3,055,195.07
  5. Step 5: Solve for x
    x = 3,055,195.07/2,279.52
  6. Step 6: Final answer
    x = 1,340.28

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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.