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Finding the Fourth Proportional to 6,789.50, 9,369.51 and 4,136.92

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Solution

The fourth proportional to 6,789.50, 9,369.51 and 4,136.92 is: 5,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.50 : 9,369.51 = 4,136.92 : x
  2. Step 2: Convert to fraction form
    6,789.50/9,369.51 = 4,136.92/x
  3. Step 3: Cross multiply
    6,789.50x = 9,369.51 × 4,136.92
  4. Step 4: Simplify right side
    6,789.50x = 38,760,874.37
  5. Step 5: Solve for x
    x = 38,760,874.37/6,789.50
  6. Step 6: Final answer
    x = 5,708.94

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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.