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Finding the Fourth Proportional to 7,884.50, 11,820.51 and 5,411.97

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Solution

The fourth proportional to 7,884.50, 11,820.51 and 5,411.97 is: 8,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.50 : 11,820.51 = 5,411.97 : x
  2. Step 2: Convert to fraction form
    7,884.50/11,820.51 = 5,411.97/x
  3. Step 3: Cross multiply
    7,884.50x = 11,820.51 × 5,411.97
  4. Step 4: Simplify right side
    7,884.50x = 63,972,245.50
  5. Step 5: Solve for x
    x = 63,972,245.50/7,884.50
  6. Step 6: Final answer
    x = 8,113.68

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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.