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Finding the Fourth Proportional to 5,381.94, 8,072.90 and 1,919.18

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Solution

The fourth proportional to 5,381.94, 8,072.90 and 1,919.18 is: 2,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.94 : 8,072.90 = 1,919.18 : x
  2. Step 2: Convert to fraction form
    5,381.94/8,072.90 = 1,919.18/x
  3. Step 3: Cross multiply
    5,381.94x = 8,072.90 × 1,919.18
  4. Step 4: Simplify right side
    5,381.94x = 15,493,348.22
  5. Step 5: Solve for x
    x = 15,493,348.22/5,381.94
  6. Step 6: Final answer
    x = 2,878.77

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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.