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Finding the Fourth Proportional to 3,689.75, 5,523.66 and 3,684.89

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Solution

The fourth proportional to 3,689.75, 5,523.66 and 3,684.89 is: 5,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.75 : 5,523.66 = 3,684.89 : x
  2. Step 2: Convert to fraction form
    3,689.75/5,523.66 = 3,684.89/x
  3. Step 3: Cross multiply
    3,689.75x = 5,523.66 × 3,684.89
  4. Step 4: Simplify right side
    3,689.75x = 20,354,093.31
  5. Step 5: Solve for x
    x = 20,354,093.31/3,689.75
  6. Step 6: Final answer
    x = 5,516.38

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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.