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Finding the Fourth Proportional to 6,617.63, 9,926.38 and 1,687.22

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Solution

The fourth proportional to 6,617.63, 9,926.38 and 1,687.22 is: 2,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.63 : 9,926.38 = 1,687.22 : x
  2. Step 2: Convert to fraction form
    6,617.63/9,926.38 = 1,687.22/x
  3. Step 3: Cross multiply
    6,617.63x = 9,926.38 × 1,687.22
  4. Step 4: Simplify right side
    6,617.63x = 16,747,959.05
  5. Step 5: Solve for x
    x = 16,747,959.05/6,617.63
  6. Step 6: Final answer
    x = 2,530.81

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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.