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Finding the Fourth Proportional to 22,462.74, 30,997.24 and 12,391.20

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Solution

The fourth proportional to 22,462.74, 30,997.24 and 12,391.20 is: 17,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.74 : 30,997.24 = 12,391.20 : x
  2. Step 2: Convert to fraction form
    22,462.74/30,997.24 = 12,391.20/x
  3. Step 3: Cross multiply
    22,462.74x = 30,997.24 × 12,391.20
  4. Step 4: Simplify right side
    22,462.74x = 384,093,000.29
  5. Step 5: Solve for x
    x = 384,093,000.29/22,462.74
  6. Step 6: Final answer
    x = 17,099.12

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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.