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Finding the Fourth Proportional to 5,163.71, 7,747.16 and 1,876.82

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Solution

The fourth proportional to 5,163.71, 7,747.16 and 1,876.82 is: 2,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.71 : 7,747.16 = 1,876.82 : x
  2. Step 2: Convert to fraction form
    5,163.71/7,747.16 = 1,876.82/x
  3. Step 3: Cross multiply
    5,163.71x = 7,747.16 × 1,876.82
  4. Step 4: Simplify right side
    5,163.71x = 14,539,976.71
  5. Step 5: Solve for x
    x = 14,539,976.71/5,163.71
  6. Step 6: Final answer
    x = 2,815.80

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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.