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Finding the Fourth Proportional to 5,921.78, 8,171.78 and 3,402.12

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Solution

The fourth proportional to 5,921.78, 8,171.78 and 3,402.12 is: 4,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.78 : 8,171.78 = 3,402.12 : x
  2. Step 2: Convert to fraction form
    5,921.78/8,171.78 = 3,402.12/x
  3. Step 3: Cross multiply
    5,921.78x = 8,171.78 × 3,402.12
  4. Step 4: Simplify right side
    5,921.78x = 27,801,376.17
  5. Step 5: Solve for x
    x = 27,801,376.17/5,921.78
  6. Step 6: Final answer
    x = 4,694.77

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1.5x scale

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.