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Finding the Fourth Proportional to 3,408.73, 5,113.37 and 909.93

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Solution

The fourth proportional to 3,408.73, 5,113.37 and 909.93 is: 1,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.73 : 5,113.37 = 909.93 : x
  2. Step 2: Convert to fraction form
    3,408.73/5,113.37 = 909.93/x
  3. Step 3: Cross multiply
    3,408.73x = 5,113.37 × 909.93
  4. Step 4: Simplify right side
    3,408.73x = 4,652,778.65
  5. Step 5: Solve for x
    x = 4,652,778.65/3,408.73
  6. Step 6: Final answer
    x = 1,364.96

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1.5x scale

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.