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Finding the Fourth Proportional to 22,635, 31,236.30 and 12,699

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Solution

The fourth proportional to 22,635, 31,236.30 and 12,699 is: 17,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635 : 31,236.30 = 12,699 : x
  2. Step 2: Convert to fraction form
    22,635/31,236.30 = 12,699/x
  3. Step 3: Cross multiply
    22,635x = 31,236.30 × 12,699
  4. Step 4: Simplify right side
    22,635x = 396,669,773.70
  5. Step 5: Solve for x
    x = 396,669,773.70/22,635
  6. Step 6: Final answer
    x = 17,524.62

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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.