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Finding the Fourth Proportional to 3,849.82, 5,749.08 and 3,808.70

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Solution

The fourth proportional to 3,849.82, 5,749.08 and 3,808.70 is: 5,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.82 : 5,749.08 = 3,808.70 : x
  2. Step 2: Convert to fraction form
    3,849.82/5,749.08 = 3,808.70/x
  3. Step 3: Cross multiply
    3,849.82x = 5,749.08 × 3,808.70
  4. Step 4: Simplify right side
    3,849.82x = 21,896,521.00
  5. Step 5: Solve for x
    x = 21,896,521.00/3,849.82
  6. Step 6: Final answer
    x = 5,687.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.