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Finding the Fourth Proportional to 3,874.52, 5,346.74 and 2,172.91

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Solution

The fourth proportional to 3,874.52, 5,346.74 and 2,172.91 is: 2,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.52 : 5,346.74 = 2,172.91 : x
  2. Step 2: Convert to fraction form
    3,874.52/5,346.74 = 2,172.91/x
  3. Step 3: Cross multiply
    3,874.52x = 5,346.74 × 2,172.91
  4. Step 4: Simplify right side
    3,874.52x = 11,617,984.81
  5. Step 5: Solve for x
    x = 11,617,984.81/3,874.52
  6. Step 6: Final answer
    x = 2,998.56

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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.