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Finding the Fourth Proportional to 3,355, 5,033.22 and 1,408.84

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Solution

The fourth proportional to 3,355, 5,033.22 and 1,408.84 is: 2,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355 : 5,033.22 = 1,408.84 : x
  2. Step 2: Convert to fraction form
    3,355/5,033.22 = 1,408.84/x
  3. Step 3: Cross multiply
    3,355x = 5,033.22 × 1,408.84
  4. Step 4: Simplify right side
    3,355x = 7,091,001.66
  5. Step 5: Solve for x
    x = 7,091,001.66/3,355
  6. Step 6: Final answer
    x = 2,113.56

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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.