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Finding the Fourth Proportional to 3,408.88, 5,108.73 and 1,559.03

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Solution

The fourth proportional to 3,408.88, 5,108.73 and 1,559.03 is: 2,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.88 : 5,108.73 = 1,559.03 : x
  2. Step 2: Convert to fraction form
    3,408.88/5,108.73 = 1,559.03/x
  3. Step 3: Cross multiply
    3,408.88x = 5,108.73 × 1,559.03
  4. Step 4: Simplify right side
    3,408.88x = 7,964,663.33
  5. Step 5: Solve for x
    x = 7,964,663.33/3,408.88
  6. Step 6: Final answer
    x = 2,336.45

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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.