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Finding the Fourth Proportional to 5,195.91, 7,170.32 and 2,838

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Solution

The fourth proportional to 5,195.91, 7,170.32 and 2,838 is: 3,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.91 : 7,170.32 = 2,838 : x
  2. Step 2: Convert to fraction form
    5,195.91/7,170.32 = 2,838/x
  3. Step 3: Cross multiply
    5,195.91x = 7,170.32 × 2,838
  4. Step 4: Simplify right side
    5,195.91x = 20,349,353.97
  5. Step 5: Solve for x
    x = 20,349,353.97/5,195.91
  6. Step 6: Final answer
    x = 3,916.42

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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.