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Finding the Fourth Proportional to 13,504.86, 20,250.43 and 7,884.43

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Solution

The fourth proportional to 13,504.86, 20,250.43 and 7,884.43 is: 11,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.86 : 20,250.43 = 7,884.43 : x
  2. Step 2: Convert to fraction form
    13,504.86/20,250.43 = 7,884.43/x
  3. Step 3: Cross multiply
    13,504.86x = 20,250.43 × 7,884.43
  4. Step 4: Simplify right side
    13,504.86x = 159,663,027.47
  5. Step 5: Solve for x
    x = 159,663,027.47/13,504.86
  6. Step 6: Final answer
    x = 11,822.63

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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.