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Finding the Fourth Proportional to 7,211.68, 10,808.10 and 3,698.71

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Solution

The fourth proportional to 7,211.68, 10,808.10 and 3,698.71 is: 5,543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.68 : 10,808.10 = 3,698.71 : x
  2. Step 2: Convert to fraction form
    7,211.68/10,808.10 = 3,698.71/x
  3. Step 3: Cross multiply
    7,211.68x = 10,808.10 × 3,698.71
  4. Step 4: Simplify right side
    7,211.68x = 39,976,027.55
  5. Step 5: Solve for x
    x = 39,976,027.55/7,211.68
  6. Step 6: Final answer
    x = 5,543.23

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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.