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Finding the Fourth Proportional to 13,732.50, 20,597.79 and 7,162.38

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Solution

The fourth proportional to 13,732.50, 20,597.79 and 7,162.38 is: 10,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.50 : 20,597.79 = 7,162.38 : x
  2. Step 2: Convert to fraction form
    13,732.50/20,597.79 = 7,162.38/x
  3. Step 3: Cross multiply
    13,732.50x = 20,597.79 × 7,162.38
  4. Step 4: Simplify right side
    13,732.50x = 147,529,199.14
  5. Step 5: Solve for x
    x = 147,529,199.14/13,732.50
  6. Step 6: Final answer
    x = 10,743.07

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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.