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Finding the Fourth Proportional to 6,163.80, 9,243 and 1,781.16

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Solution

The fourth proportional to 6,163.80, 9,243 and 1,781.16 is: 2,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.80 : 9,243 = 1,781.16 : x
  2. Step 2: Convert to fraction form
    6,163.80/9,243 = 1,781.16/x
  3. Step 3: Cross multiply
    6,163.80x = 9,243 × 1,781.16
  4. Step 4: Simplify right side
    6,163.80x = 16,463,261.88
  5. Step 5: Solve for x
    x = 16,463,261.88/6,163.80
  6. Step 6: Final answer
    x = 2,670.96

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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.