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Finding the Fourth Proportional to 1,300.96, 1,791.36 and 1,272.16

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Solution

The fourth proportional to 1,300.96, 1,791.36 and 1,272.16 is: 1,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.96 : 1,791.36 = 1,272.16 : x
  2. Step 2: Convert to fraction form
    1,300.96/1,791.36 = 1,272.16/x
  3. Step 3: Cross multiply
    1,300.96x = 1,791.36 × 1,272.16
  4. Step 4: Simplify right side
    1,300.96x = 2,278,896.54
  5. Step 5: Solve for x
    x = 2,278,896.54/1,300.96
  6. Step 6: Final answer
    x = 1,751.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.