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Finding the Fourth Proportional to 22,631, 31,230.78 and 13,799

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Solution

The fourth proportional to 22,631, 31,230.78 and 13,799 is: 19,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,631 : 31,230.78 = 13,799 : x
  2. Step 2: Convert to fraction form
    22,631/31,230.78 = 13,799/x
  3. Step 3: Cross multiply
    22,631x = 31,230.78 × 13,799
  4. Step 4: Simplify right side
    22,631x = 430,953,533.22
  5. Step 5: Solve for x
    x = 430,953,533.22/22,631
  6. Step 6: Final answer
    x = 19,042.62

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Why These Related Problems?

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