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Finding the Fourth Proportional to 6,666, 9,199.08 and 3,722

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Solution

The fourth proportional to 6,666, 9,199.08 and 3,722 is: 5,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666 : 9,199.08 = 3,722 : x
  2. Step 2: Convert to fraction form
    6,666/9,199.08 = 3,722/x
  3. Step 3: Cross multiply
    6,666x = 9,199.08 × 3,722
  4. Step 4: Simplify right side
    6,666x = 34,238,975.76
  5. Step 5: Solve for x
    x = 34,238,975.76/6,666
  6. Step 6: Final answer
    x = 5,136.36

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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.