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Finding the Fourth Proportional to 3,808, 5,705.72 and 3,489.16

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Solution

The fourth proportional to 3,808, 5,705.72 and 3,489.16 is: 5,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808 : 5,705.72 = 3,489.16 : x
  2. Step 2: Convert to fraction form
    3,808/5,705.72 = 3,489.16/x
  3. Step 3: Cross multiply
    3,808x = 5,705.72 × 3,489.16
  4. Step 4: Simplify right side
    3,808x = 19,908,170.00
  5. Step 5: Solve for x
    x = 19,908,170.00/3,808
  6. Step 6: Final answer
    x = 5,227.99

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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.