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Finding the Fourth Proportional to 6,778.32, 9,353.80 and 3,945.76

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Solution

The fourth proportional to 6,778.32, 9,353.80 and 3,945.76 is: 5,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.32 : 9,353.80 = 3,945.76 : x
  2. Step 2: Convert to fraction form
    6,778.32/9,353.80 = 3,945.76/x
  3. Step 3: Cross multiply
    6,778.32x = 9,353.80 × 3,945.76
  4. Step 4: Simplify right side
    6,778.32x = 36,907,861.86
  5. Step 5: Solve for x
    x = 36,907,861.86/6,778.32
  6. Step 6: Final answer
    x = 5,444.99

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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.