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Finding the Fourth Proportional to 22,222.68, 33,341.32 and 9,086.10

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Solution

The fourth proportional to 22,222.68, 33,341.32 and 9,086.10 is: 13,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,222.68 : 33,341.32 = 9,086.10 : x
  2. Step 2: Convert to fraction form
    22,222.68/33,341.32 = 9,086.10/x
  3. Step 3: Cross multiply
    22,222.68x = 33,341.32 × 9,086.10
  4. Step 4: Simplify right side
    22,222.68x = 302,942,567.65
  5. Step 5: Solve for x
    x = 302,942,567.65/22,222.68
  6. Step 6: Final answer
    x = 13,632.13

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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.