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Finding the Fourth Proportional to 6,778.23, 10,219.61 and 6,736.11

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Solution

The fourth proportional to 6,778.23, 10,219.61 and 6,736.11 is: 10,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.23 : 10,219.61 = 6,736.11 : x
  2. Step 2: Convert to fraction form
    6,778.23/10,219.61 = 6,736.11/x
  3. Step 3: Cross multiply
    6,778.23x = 10,219.61 × 6,736.11
  4. Step 4: Simplify right side
    6,778.23x = 68,840,383.44
  5. Step 5: Solve for x
    x = 68,840,383.44/6,778.23
  6. Step 6: Final answer
    x = 10,156.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.