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Finding the Fourth Proportional to 22,590.92, 31,175.91 and 13,160.09

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Solution

The fourth proportional to 22,590.92, 31,175.91 and 13,160.09 is: 18,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,590.92 : 31,175.91 = 13,160.09 : x
  2. Step 2: Convert to fraction form
    22,590.92/31,175.91 = 13,160.09/x
  3. Step 3: Cross multiply
    22,590.92x = 31,175.91 × 13,160.09
  4. Step 4: Simplify right side
    22,590.92x = 410,277,625.55
  5. Step 5: Solve for x
    x = 410,277,625.55/22,590.92
  6. Step 6: Final answer
    x = 18,161.18

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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.