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Finding the Fourth Proportional to 22,862.91, 31,550.67 and 12,791.31

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Solution

The fourth proportional to 22,862.91, 31,550.67 and 12,791.31 is: 17,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.91 : 31,550.67 = 12,791.31 : x
  2. Step 2: Convert to fraction form
    22,862.91/31,550.67 = 12,791.31/x
  3. Step 3: Cross multiply
    22,862.91x = 31,550.67 × 12,791.31
  4. Step 4: Simplify right side
    22,862.91x = 403,574,400.68
  5. Step 5: Solve for x
    x = 403,574,400.68/22,862.91
  6. Step 6: Final answer
    x = 17,651.93

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