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Finding the Fourth Proportional to 4,967.96, 6,856.02 and 2,979.92

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Solution

The fourth proportional to 4,967.96, 6,856.02 and 2,979.92 is: 4,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.96 : 6,856.02 = 2,979.92 : x
  2. Step 2: Convert to fraction form
    4,967.96/6,856.02 = 2,979.92/x
  3. Step 3: Cross multiply
    4,967.96x = 6,856.02 × 2,979.92
  4. Step 4: Simplify right side
    4,967.96x = 20,430,391.12
  5. Step 5: Solve for x
    x = 20,430,391.12/4,967.96
  6. Step 6: Final answer
    x = 4,112.43

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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.