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Finding the Fourth Proportional to 6,643.42, 9,167.58 and 3,659.19

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Solution

The fourth proportional to 6,643.42, 9,167.58 and 3,659.19 is: 5,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.42 : 9,167.58 = 3,659.19 : x
  2. Step 2: Convert to fraction form
    6,643.42/9,167.58 = 3,659.19/x
  3. Step 3: Cross multiply
    6,643.42x = 9,167.58 × 3,659.19
  4. Step 4: Simplify right side
    6,643.42x = 33,545,882.68
  5. Step 5: Solve for x
    x = 33,545,882.68/6,643.42
  6. Step 6: Final answer
    x = 5,049.49

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