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Finding the Fourth Proportional to 9,545.38, 13,169.92 and 6,188.34

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Solution

The fourth proportional to 9,545.38, 13,169.92 and 6,188.34 is: 8,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.38 : 13,169.92 = 6,188.34 : x
  2. Step 2: Convert to fraction form
    9,545.38/13,169.92 = 6,188.34/x
  3. Step 3: Cross multiply
    9,545.38x = 13,169.92 × 6,188.34
  4. Step 4: Simplify right side
    9,545.38x = 81,499,942.73
  5. Step 5: Solve for x
    x = 81,499,942.73/9,545.38
  6. Step 6: Final answer
    x = 8,538.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.