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Finding the Fourth Proportional to 6,605.56, 9,115.62 and 3,811

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Solution

The fourth proportional to 6,605.56, 9,115.62 and 3,811 is: 5,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.56 : 9,115.62 = 3,811 : x
  2. Step 2: Convert to fraction form
    6,605.56/9,115.62 = 3,811/x
  3. Step 3: Cross multiply
    6,605.56x = 9,115.62 × 3,811
  4. Step 4: Simplify right side
    6,605.56x = 34,739,627.82
  5. Step 5: Solve for x
    x = 34,739,627.82/6,605.56
  6. Step 6: Final answer
    x = 5,259.15

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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.