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Finding the Fourth Proportional to 3,679.88, 5,519.88 and 1,214.96

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Solution

The fourth proportional to 3,679.88, 5,519.88 and 1,214.96 is: 1,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.88 : 5,519.88 = 1,214.96 : x
  2. Step 2: Convert to fraction form
    3,679.88/5,519.88 = 1,214.96/x
  3. Step 3: Cross multiply
    3,679.88x = 5,519.88 × 1,214.96
  4. Step 4: Simplify right side
    3,679.88x = 6,706,433.40
  5. Step 5: Solve for x
    x = 6,706,433.40/3,679.88
  6. Step 6: Final answer
    x = 1,822.46

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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.