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Finding the Fourth Proportional to 3,696.72, 5,545.05 and 923.38

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Solution

The fourth proportional to 3,696.72, 5,545.05 and 923.38 is: 1,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.72 : 5,545.05 = 923.38 : x
  2. Step 2: Convert to fraction form
    3,696.72/5,545.05 = 923.38/x
  3. Step 3: Cross multiply
    3,696.72x = 5,545.05 × 923.38
  4. Step 4: Simplify right side
    3,696.72x = 5,120,177.87
  5. Step 5: Solve for x
    x = 5,120,177.87/3,696.72
  6. Step 6: Final answer
    x = 1,385.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.