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Finding the Fourth Proportional to 7,018.21, 9,685.11 and 3,874.38

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Solution

The fourth proportional to 7,018.21, 9,685.11 and 3,874.38 is: 5,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.21 : 9,685.11 = 3,874.38 : x
  2. Step 2: Convert to fraction form
    7,018.21/9,685.11 = 3,874.38/x
  3. Step 3: Cross multiply
    7,018.21x = 9,685.11 × 3,874.38
  4. Step 4: Simplify right side
    7,018.21x = 37,523,796.48
  5. Step 5: Solve for x
    x = 37,523,796.48/7,018.21
  6. Step 6: Final answer
    x = 5,346.63

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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.