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Finding the Fourth Proportional to 3,677.92, 5,516.87 and 1,486.65

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Solution

The fourth proportional to 3,677.92, 5,516.87 and 1,486.65 is: 2,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.92 : 5,516.87 = 1,486.65 : x
  2. Step 2: Convert to fraction form
    3,677.92/5,516.87 = 1,486.65/x
  3. Step 3: Cross multiply
    3,677.92x = 5,516.87 × 1,486.65
  4. Step 4: Simplify right side
    3,677.92x = 8,201,658.50
  5. Step 5: Solve for x
    x = 8,201,658.50/3,677.92
  6. Step 6: Final answer
    x = 2,229.97

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1.5x scale

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.