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Finding the Fourth Proportional to 6,663.74, 9,989.66 and 3,375.14

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Solution

The fourth proportional to 6,663.74, 9,989.66 and 3,375.14 is: 5,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.74 : 9,989.66 = 3,375.14 : x
  2. Step 2: Convert to fraction form
    6,663.74/9,989.66 = 3,375.14/x
  3. Step 3: Cross multiply
    6,663.74x = 9,989.66 × 3,375.14
  4. Step 4: Simplify right side
    6,663.74x = 33,716,459.54
  5. Step 5: Solve for x
    x = 33,716,459.54/6,663.74
  6. Step 6: Final answer
    x = 5,059.69

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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.