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Finding the Fourth Proportional to 3,712.82, 5,562.03 and 3,318.49

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Solution

The fourth proportional to 3,712.82, 5,562.03 and 3,318.49 is: 4,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.82 : 5,562.03 = 3,318.49 : x
  2. Step 2: Convert to fraction form
    3,712.82/5,562.03 = 3,318.49/x
  3. Step 3: Cross multiply
    3,712.82x = 5,562.03 × 3,318.49
  4. Step 4: Simplify right side
    3,712.82x = 18,457,496.53
  5. Step 5: Solve for x
    x = 18,457,496.53/3,712.82
  6. Step 6: Final answer
    x = 4,971.29

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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.