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Finding the Fourth Proportional to 6,802.72, 10,203.96 and 3,874.78

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Solution

The fourth proportional to 6,802.72, 10,203.96 and 3,874.78 is: 5,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.72 : 10,203.96 = 3,874.78 : x
  2. Step 2: Convert to fraction form
    6,802.72/10,203.96 = 3,874.78/x
  3. Step 3: Cross multiply
    6,802.72x = 10,203.96 × 3,874.78
  4. Step 4: Simplify right side
    6,802.72x = 39,538,100.13
  5. Step 5: Solve for x
    x = 39,538,100.13/6,802.72
  6. Step 6: Final answer
    x = 5,812.10

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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.