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Finding the Fourth Proportional to 9,112.44, 13,665.78 and 2,955

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Solution

The fourth proportional to 9,112.44, 13,665.78 and 2,955 is: 4,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.44 : 13,665.78 = 2,955 : x
  2. Step 2: Convert to fraction form
    9,112.44/13,665.78 = 2,955/x
  3. Step 3: Cross multiply
    9,112.44x = 13,665.78 × 2,955
  4. Step 4: Simplify right side
    9,112.44x = 40,382,379.90
  5. Step 5: Solve for x
    x = 40,382,379.90/9,112.44
  6. Step 6: Final answer
    x = 4,431.57

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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.