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Finding the Fourth Proportional to 6,461.91, 8,920.98 and 3,944.61

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Solution

The fourth proportional to 6,461.91, 8,920.98 and 3,944.61 is: 5,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.91 : 8,920.98 = 3,944.61 : x
  2. Step 2: Convert to fraction form
    6,461.91/8,920.98 = 3,944.61/x
  3. Step 3: Cross multiply
    6,461.91x = 8,920.98 × 3,944.61
  4. Step 4: Simplify right side
    6,461.91x = 35,189,786.92
  5. Step 5: Solve for x
    x = 35,189,786.92/6,461.91
  6. Step 6: Final answer
    x = 5,445.73

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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.