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Finding the Fourth Proportional to 9,114.69, 13,662.87 and 3,186.98

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Solution

The fourth proportional to 9,114.69, 13,662.87 and 3,186.98 is: 4,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.69 : 13,662.87 = 3,186.98 : x
  2. Step 2: Convert to fraction form
    9,114.69/13,662.87 = 3,186.98/x
  3. Step 3: Cross multiply
    9,114.69x = 13,662.87 × 3,186.98
  4. Step 4: Simplify right side
    9,114.69x = 43,543,225.12
  5. Step 5: Solve for x
    x = 43,543,225.12/9,114.69
  6. Step 6: Final answer
    x = 4,777.26

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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.