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Finding the Fourth Proportional to 1,791.93, 2,687.79 and 1,098.71

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Solution

The fourth proportional to 1,791.93, 2,687.79 and 1,098.71 is: 1,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.93 : 2,687.79 = 1,098.71 : x
  2. Step 2: Convert to fraction form
    1,791.93/2,687.79 = 1,098.71/x
  3. Step 3: Cross multiply
    1,791.93x = 2,687.79 × 1,098.71
  4. Step 4: Simplify right side
    1,791.93x = 2,953,102.51
  5. Step 5: Solve for x
    x = 2,953,102.51/1,791.93
  6. Step 6: Final answer
    x = 1,648.00

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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.