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Finding the Fourth Proportional to 1,262.74, 1,891.16 and 1,218.95

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Solution

The fourth proportional to 1,262.74, 1,891.16 and 1,218.95 is: 1,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.74 : 1,891.16 = 1,218.95 : x
  2. Step 2: Convert to fraction form
    1,262.74/1,891.16 = 1,218.95/x
  3. Step 3: Cross multiply
    1,262.74x = 1,891.16 × 1,218.95
  4. Step 4: Simplify right side
    1,262.74x = 2,305,220.03
  5. Step 5: Solve for x
    x = 2,305,220.03/1,262.74
  6. Step 6: Final answer
    x = 1,825.58

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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.