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Finding the Fourth Proportional to 2,640, 3,960.24 and 1,101.12

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Solution

The fourth proportional to 2,640, 3,960.24 and 1,101.12 is: 1,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640 : 3,960.24 = 1,101.12 : x
  2. Step 2: Convert to fraction form
    2,640/3,960.24 = 1,101.12/x
  3. Step 3: Cross multiply
    2,640x = 3,960.24 × 1,101.12
  4. Step 4: Simplify right side
    2,640x = 4,360,699.47
  5. Step 5: Solve for x
    x = 4,360,699.47/2,640
  6. Step 6: Final answer
    x = 1,651.78

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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.