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Finding the Fourth Proportional to 7,244, 9,996.72 and 3,932

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Solution

The fourth proportional to 7,244, 9,996.72 and 3,932 is: 5,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244 : 9,996.72 = 3,932 : x
  2. Step 2: Convert to fraction form
    7,244/9,996.72 = 3,932/x
  3. Step 3: Cross multiply
    7,244x = 9,996.72 × 3,932
  4. Step 4: Simplify right side
    7,244x = 39,307,103.04
  5. Step 5: Solve for x
    x = 39,307,103.04/7,244
  6. Step 6: Final answer
    x = 5,426.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.