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Finding the Fourth Proportional to 6,768.85, 9,321.64 and 6,346.95

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Solution

The fourth proportional to 6,768.85, 9,321.64 and 6,346.95 is: 8,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.85 : 9,321.64 = 6,346.95 : x
  2. Step 2: Convert to fraction form
    6,768.85/9,321.64 = 6,346.95/x
  3. Step 3: Cross multiply
    6,768.85x = 9,321.64 × 6,346.95
  4. Step 4: Simplify right side
    6,768.85x = 59,163,983.00
  5. Step 5: Solve for x
    x = 59,163,983.00/6,768.85
  6. Step 6: Final answer
    x = 8,740.63

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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.