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Finding the Fourth Proportional to 10,680.50, 14,739.09 and 5,964.78

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Solution

The fourth proportional to 10,680.50, 14,739.09 and 5,964.78 is: 8,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.50 : 14,739.09 = 5,964.78 : x
  2. Step 2: Convert to fraction form
    10,680.50/14,739.09 = 5,964.78/x
  3. Step 3: Cross multiply
    10,680.50x = 14,739.09 × 5,964.78
  4. Step 4: Simplify right side
    10,680.50x = 87,915,429.25
  5. Step 5: Solve for x
    x = 87,915,429.25/10,680.50
  6. Step 6: Final answer
    x = 8,231.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.