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Finding the Fourth Proportional to 22,916.44, 31,623.12 and 12,843.16

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Solution

The fourth proportional to 22,916.44, 31,623.12 and 12,843.16 is: 17,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916.44 : 31,623.12 = 12,843.16 : x
  2. Step 2: Convert to fraction form
    22,916.44/31,623.12 = 12,843.16/x
  3. Step 3: Cross multiply
    22,916.44x = 31,623.12 × 12,843.16
  4. Step 4: Simplify right side
    22,916.44x = 406,140,789.86
  5. Step 5: Solve for x
    x = 406,140,789.86/22,916.44
  6. Step 6: Final answer
    x = 17,722.68

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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.