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Finding the Fourth Proportional to 3,408, 5,108.95 and 1,216.41

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Solution

The fourth proportional to 3,408, 5,108.95 and 1,216.41 is: 1,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408 : 5,108.95 = 1,216.41 : x
  2. Step 2: Convert to fraction form
    3,408/5,108.95 = 1,216.41/x
  3. Step 3: Cross multiply
    3,408x = 5,108.95 × 1,216.41
  4. Step 4: Simplify right side
    3,408x = 6,214,577.87
  5. Step 5: Solve for x
    x = 6,214,577.87/3,408
  6. Step 6: Final answer
    x = 1,823.53

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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.