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Finding the Fourth Proportional to 6,961.76, 9,601.62 and 6,120.68

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Solution

The fourth proportional to 6,961.76, 9,601.62 and 6,120.68 is: 8,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.76 : 9,601.62 = 6,120.68 : x
  2. Step 2: Convert to fraction form
    6,961.76/9,601.62 = 6,120.68/x
  3. Step 3: Cross multiply
    6,961.76x = 9,601.62 × 6,120.68
  4. Step 4: Simplify right side
    6,961.76x = 58,768,443.50
  5. Step 5: Solve for x
    x = 58,768,443.50/6,961.76
  6. Step 6: Final answer
    x = 8,441.61

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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.