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Finding the Fourth Proportional to 13,805.33, 20,716.20 and 7,235.22

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Solution

The fourth proportional to 13,805.33, 20,716.20 and 7,235.22 is: 10,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.33 : 20,716.20 = 7,235.22 : x
  2. Step 2: Convert to fraction form
    13,805.33/20,716.20 = 7,235.22/x
  3. Step 3: Cross multiply
    13,805.33x = 20,716.20 × 7,235.22
  4. Step 4: Simplify right side
    13,805.33x = 149,886,264.56
  5. Step 5: Solve for x
    x = 149,886,264.56/13,805.33
  6. Step 6: Final answer
    x = 10,857.13

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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.