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Finding the Fourth Proportional to 2,640.84, 3,961.24 and 1,762.52

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Solution

The fourth proportional to 2,640.84, 3,961.24 and 1,762.52 is: 2,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.84 : 3,961.24 = 1,762.52 : x
  2. Step 2: Convert to fraction form
    2,640.84/3,961.24 = 1,762.52/x
  3. Step 3: Cross multiply
    2,640.84x = 3,961.24 × 1,762.52
  4. Step 4: Simplify right side
    2,640.84x = 6,981,764.72
  5. Step 5: Solve for x
    x = 6,981,764.72/2,640.84
  6. Step 6: Final answer
    x = 2,643.77

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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.