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Finding the Fourth Proportional to 3,919.79, 5,914.64 and 3,767.91

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Solution

The fourth proportional to 3,919.79, 5,914.64 and 3,767.91 is: 5,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.79 : 5,914.64 = 3,767.91 : x
  2. Step 2: Convert to fraction form
    3,919.79/5,914.64 = 3,767.91/x
  3. Step 3: Cross multiply
    3,919.79x = 5,914.64 × 3,767.91
  4. Step 4: Simplify right side
    3,919.79x = 22,285,812.36
  5. Step 5: Solve for x
    x = 22,285,812.36/3,919.79
  6. Step 6: Final answer
    x = 5,685.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.