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Finding the Fourth Proportional to 1,791.19, 2,687.65 and 925.51

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Solution

The fourth proportional to 1,791.19, 2,687.65 and 925.51 is: 1,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.19 : 2,687.65 = 925.51 : x
  2. Step 2: Convert to fraction form
    1,791.19/2,687.65 = 925.51/x
  3. Step 3: Cross multiply
    1,791.19x = 2,687.65 × 925.51
  4. Step 4: Simplify right side
    1,791.19x = 2,487,446.95
  5. Step 5: Solve for x
    x = 2,487,446.95/1,791.19
  6. Step 6: Final answer
    x = 1,388.71

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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.