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Finding the Fourth Proportional to 3,408.75, 5,112.53 and 909.97

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Solution

The fourth proportional to 3,408.75, 5,112.53 and 909.97 is: 1,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.75 : 5,112.53 = 909.97 : x
  2. Step 2: Convert to fraction form
    3,408.75/5,112.53 = 909.97/x
  3. Step 3: Cross multiply
    3,408.75x = 5,112.53 × 909.97
  4. Step 4: Simplify right side
    3,408.75x = 4,652,248.92
  5. Step 5: Solve for x
    x = 4,652,248.92/3,408.75
  6. Step 6: Final answer
    x = 1,364.80

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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.