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Finding the Fourth Proportional to 5,429.70, 8,144.70 and 1,919.21

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Solution

The fourth proportional to 5,429.70, 8,144.70 and 1,919.21 is: 2,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.70 : 8,144.70 = 1,919.21 : x
  2. Step 2: Convert to fraction form
    5,429.70/8,144.70 = 1,919.21/x
  3. Step 3: Cross multiply
    5,429.70x = 8,144.70 × 1,919.21
  4. Step 4: Simplify right side
    5,429.70x = 15,631,398.38
  5. Step 5: Solve for x
    x = 15,631,398.38/5,429.70
  6. Step 6: Final answer
    x = 2,878.87

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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.