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Finding the Fourth Proportional to 7,884, 11,825.97 and 5,411.31

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Solution

The fourth proportional to 7,884, 11,825.97 and 5,411.31 is: 8,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884 : 11,825.97 = 5,411.31 : x
  2. Step 2: Convert to fraction form
    7,884/11,825.97 = 5,411.31/x
  3. Step 3: Cross multiply
    7,884x = 11,825.97 × 5,411.31
  4. Step 4: Simplify right side
    7,884x = 63,993,989.72
  5. Step 5: Solve for x
    x = 63,993,989.72/7,884
  6. Step 6: Final answer
    x = 8,116.94

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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.