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Finding the Fourth Proportional to 6,617.73, 9,913.70 and 3,687.21

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Solution

The fourth proportional to 6,617.73, 9,913.70 and 3,687.21 is: 5,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.73 : 9,913.70 = 3,687.21 : x
  2. Step 2: Convert to fraction form
    6,617.73/9,913.70 = 3,687.21/x
  3. Step 3: Cross multiply
    6,617.73x = 9,913.70 × 3,687.21
  4. Step 4: Simplify right side
    6,617.73x = 36,553,875.34
  5. Step 5: Solve for x
    x = 36,553,875.34/6,617.73
  6. Step 6: Final answer
    x = 5,523.63

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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.