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Finding the Fourth Proportional to 22,306.30, 33,431.10 and 9,143.80

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Solution

The fourth proportional to 22,306.30, 33,431.10 and 9,143.80 is: 13,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.30 : 33,431.10 = 9,143.80 : x
  2. Step 2: Convert to fraction form
    22,306.30/33,431.10 = 9,143.80/x
  3. Step 3: Cross multiply
    22,306.30x = 33,431.10 × 9,143.80
  4. Step 4: Simplify right side
    22,306.30x = 305,687,292.18
  5. Step 5: Solve for x
    x = 305,687,292.18/22,306.30
  6. Step 6: Final answer
    x = 13,704.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.