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Finding the Fourth Proportional to 22,107.85, 33,143.16 and 9,618.47

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Solution

The fourth proportional to 22,107.85, 33,143.16 and 9,618.47 is: 14,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.85 : 33,143.16 = 9,618.47 : x
  2. Step 2: Convert to fraction form
    22,107.85/33,143.16 = 9,618.47/x
  3. Step 3: Cross multiply
    22,107.85x = 33,143.16 × 9,618.47
  4. Step 4: Simplify right side
    22,107.85x = 318,786,490.17
  5. Step 5: Solve for x
    x = 318,786,490.17/22,107.85
  6. Step 6: Final answer
    x = 14,419.61

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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.