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Finding the Fourth Proportional to 13,902.54, 20,859.12 and 8,359.81

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Solution

The fourth proportional to 13,902.54, 20,859.12 and 8,359.81 is: 12,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.54 : 20,859.12 = 8,359.81 : x
  2. Step 2: Convert to fraction form
    13,902.54/20,859.12 = 8,359.81/x
  3. Step 3: Cross multiply
    13,902.54x = 20,859.12 × 8,359.81
  4. Step 4: Simplify right side
    13,902.54x = 174,378,227.82
  5. Step 5: Solve for x
    x = 174,378,227.82/13,902.54
  6. Step 6: Final answer
    x = 12,542.91

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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.