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Finding the Fourth Proportional to 6,778.86, 9,352.04 and 3,945.76

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Solution

The fourth proportional to 6,778.86, 9,352.04 and 3,945.76 is: 5,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.86 : 9,352.04 = 3,945.76 : x
  2. Step 2: Convert to fraction form
    6,778.86/9,352.04 = 3,945.76/x
  3. Step 3: Cross multiply
    6,778.86x = 9,352.04 × 3,945.76
  4. Step 4: Simplify right side
    6,778.86x = 36,900,905.35
  5. Step 5: Solve for x
    x = 36,900,905.35/6,778.86
  6. Step 6: Final answer
    x = 5,443.53

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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.