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Finding the Fourth Proportional to 6,651.96, 9,965.16 and 3,721.38

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Solution

The fourth proportional to 6,651.96, 9,965.16 and 3,721.38 is: 5,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.96 : 9,965.16 = 3,721.38 : x
  2. Step 2: Convert to fraction form
    6,651.96/9,965.16 = 3,721.38/x
  3. Step 3: Cross multiply
    6,651.96x = 9,965.16 × 3,721.38
  4. Step 4: Simplify right side
    6,651.96x = 37,084,147.12
  5. Step 5: Solve for x
    x = 37,084,147.12/6,651.96
  6. Step 6: Final answer
    x = 5,574.92

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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.