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Finding the Fourth Proportional to 22,757.96, 31,406.05 and 13,199.69

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Solution

The fourth proportional to 22,757.96, 31,406.05 and 13,199.69 is: 18,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.96 : 31,406.05 = 13,199.69 : x
  2. Step 2: Convert to fraction form
    22,757.96/31,406.05 = 13,199.69/x
  3. Step 3: Cross multiply
    22,757.96x = 31,406.05 × 13,199.69
  4. Step 4: Simplify right side
    22,757.96x = 414,550,124.12
  5. Step 5: Solve for x
    x = 414,550,124.12/22,757.96
  6. Step 6: Final answer
    x = 18,215.61

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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.