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Finding the Fourth Proportional to 5,876.32, 8,109.70 and 3,883.38

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Solution

The fourth proportional to 5,876.32, 8,109.70 and 3,883.38 is: 5,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.32 : 8,109.70 = 3,883.38 : x
  2. Step 2: Convert to fraction form
    5,876.32/8,109.70 = 3,883.38/x
  3. Step 3: Cross multiply
    5,876.32x = 8,109.70 × 3,883.38
  4. Step 4: Simplify right side
    5,876.32x = 31,493,046.79
  5. Step 5: Solve for x
    x = 31,493,046.79/5,876.32
  6. Step 6: Final answer
    x = 5,359.31

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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.