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Finding the Fourth Proportional to 13,806, 20,711.88 and 5,598

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Solution

The fourth proportional to 13,806, 20,711.88 and 5,598 is: 8,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806 : 20,711.88 = 5,598 : x
  2. Step 2: Convert to fraction form
    13,806/20,711.88 = 5,598/x
  3. Step 3: Cross multiply
    13,806x = 20,711.88 × 5,598
  4. Step 4: Simplify right side
    13,806x = 115,945,104.24
  5. Step 5: Solve for x
    x = 115,945,104.24/13,806
  6. Step 6: Final answer
    x = 8,398.17

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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.