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Finding the Fourth Proportional to 3,697, 5,101.08 and 2,081.96

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Solution

The fourth proportional to 3,697, 5,101.08 and 2,081.96 is: 2,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697 : 5,101.08 = 2,081.96 : x
  2. Step 2: Convert to fraction form
    3,697/5,101.08 = 2,081.96/x
  3. Step 3: Cross multiply
    3,697x = 5,101.08 × 2,081.96
  4. Step 4: Simplify right side
    3,697x = 10,620,244.52
  5. Step 5: Solve for x
    x = 10,620,244.52/3,697
  6. Step 6: Final answer
    x = 2,872.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.