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Finding the Fourth Proportional to 9,222.61, 12,727.07 and 5,189.13

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Solution

The fourth proportional to 9,222.61, 12,727.07 and 5,189.13 is: 7,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.61 : 12,727.07 = 5,189.13 : x
  2. Step 2: Convert to fraction form
    9,222.61/12,727.07 = 5,189.13/x
  3. Step 3: Cross multiply
    9,222.61x = 12,727.07 × 5,189.13
  4. Step 4: Simplify right side
    9,222.61x = 66,042,394.80
  5. Step 5: Solve for x
    x = 66,042,394.80/9,222.61
  6. Step 6: Final answer
    x = 7,160.92

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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.