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Finding the Fourth Proportional to 3,880.15, 5,350 and 3,169.38

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Solution

The fourth proportional to 3,880.15, 5,350 and 3,169.38 is: 4,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.15 : 5,350 = 3,169.38 : x
  2. Step 2: Convert to fraction form
    3,880.15/5,350 = 3,169.38/x
  3. Step 3: Cross multiply
    3,880.15x = 5,350 × 3,169.38
  4. Step 4: Simplify right side
    3,880.15x = 16,956,183
  5. Step 5: Solve for x
    x = 16,956,183/3,880.15
  6. Step 6: Final answer
    x = 4,369.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.