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Finding the Fourth Proportional to 2,267.36, 3,400.32 and 728

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Solution

The fourth proportional to 2,267.36, 3,400.32 and 728 is: 1,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.36 : 3,400.32 = 728 : x
  2. Step 2: Convert to fraction form
    2,267.36/3,400.32 = 728/x
  3. Step 3: Cross multiply
    2,267.36x = 3,400.32 × 728
  4. Step 4: Simplify right side
    2,267.36x = 2,475,432.96
  5. Step 5: Solve for x
    x = 2,475,432.96/2,267.36
  6. Step 6: Final answer
    x = 1,091.77

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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.