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Finding the Fourth Proportional to 5,478.56, 8,213.99 and 1,919.81

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Solution

The fourth proportional to 5,478.56, 8,213.99 and 1,919.81 is: 2,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.56 : 8,213.99 = 1,919.81 : x
  2. Step 2: Convert to fraction form
    5,478.56/8,213.99 = 1,919.81/x
  3. Step 3: Cross multiply
    5,478.56x = 8,213.99 × 1,919.81
  4. Step 4: Simplify right side
    5,478.56x = 15,769,249.47
  5. Step 5: Solve for x
    x = 15,769,249.47/5,478.56
  6. Step 6: Final answer
    x = 2,878.36

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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.