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Finding the Fourth Proportional to 3,697, 5,545.86 and 1,645

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Solution

The fourth proportional to 3,697, 5,545.86 and 1,645 is: 2,467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697 : 5,545.86 = 1,645 : x
  2. Step 2: Convert to fraction form
    3,697/5,545.86 = 1,645/x
  3. Step 3: Cross multiply
    3,697x = 5,545.86 × 1,645
  4. Step 4: Simplify right side
    3,697x = 9,122,939.70
  5. Step 5: Solve for x
    x = 9,122,939.70/3,697
  6. Step 6: Final answer
    x = 2,467.66

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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.