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Finding the Fourth Proportional to 6,540.66, 9,810.99 and 1,861.16

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Solution

The fourth proportional to 6,540.66, 9,810.99 and 1,861.16 is: 2,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.66 : 9,810.99 = 1,861.16 : x
  2. Step 2: Convert to fraction form
    6,540.66/9,810.99 = 1,861.16/x
  3. Step 3: Cross multiply
    6,540.66x = 9,810.99 × 1,861.16
  4. Step 4: Simplify right side
    6,540.66x = 18,259,773.09
  5. Step 5: Solve for x
    x = 18,259,773.09/6,540.66
  6. Step 6: Final answer
    x = 2,791.73

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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.