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Finding the Fourth Proportional to 2,193.92, 3,289.65 and 893.87

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Solution

The fourth proportional to 2,193.92, 3,289.65 and 893.87 is: 1,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.92 : 3,289.65 = 893.87 : x
  2. Step 2: Convert to fraction form
    2,193.92/3,289.65 = 893.87/x
  3. Step 3: Cross multiply
    2,193.92x = 3,289.65 × 893.87
  4. Step 4: Simplify right side
    2,193.92x = 2,940,519.45
  5. Step 5: Solve for x
    x = 2,940,519.45/2,193.92
  6. Step 6: Final answer
    x = 1,340.30

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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.