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Finding the Fourth Proportional to 6,652, 9,179.76 and 3,857.68

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Solution

The fourth proportional to 6,652, 9,179.76 and 3,857.68 is: 5,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652 : 9,179.76 = 3,857.68 : x
  2. Step 2: Convert to fraction form
    6,652/9,179.76 = 3,857.68/x
  3. Step 3: Cross multiply
    6,652x = 9,179.76 × 3,857.68
  4. Step 4: Simplify right side
    6,652x = 35,412,576.56
  5. Step 5: Solve for x
    x = 35,412,576.56/6,652
  6. Step 6: Final answer
    x = 5,323.60

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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.