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Finding the Fourth Proportional to 6,961.92, 9,606.12 and 3,978.70

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Solution

The fourth proportional to 6,961.92, 9,606.12 and 3,978.70 is: 5,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.92 : 9,606.12 = 3,978.70 : x
  2. Step 2: Convert to fraction form
    6,961.92/9,606.12 = 3,978.70/x
  3. Step 3: Cross multiply
    6,961.92x = 9,606.12 × 3,978.70
  4. Step 4: Simplify right side
    6,961.92x = 38,219,869.64
  5. Step 5: Solve for x
    x = 38,219,869.64/6,961.92
  6. Step 6: Final answer
    x = 5,489.85

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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.