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Finding the Fourth Proportional to 6,736.80, 10,105.80 and 2,840.64

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Solution

The fourth proportional to 6,736.80, 10,105.80 and 2,840.64 is: 4,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.80 : 10,105.80 = 2,840.64 : x
  2. Step 2: Convert to fraction form
    6,736.80/10,105.80 = 2,840.64/x
  3. Step 3: Cross multiply
    6,736.80x = 10,105.80 × 2,840.64
  4. Step 4: Simplify right side
    6,736.80x = 28,706,939.71
  5. Step 5: Solve for x
    x = 28,706,939.71/6,736.80
  6. Step 6: Final answer
    x = 4,261.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.