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Finding the Fourth Proportional to 7,299.56, 10,072.38 and 4,112.32

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Solution

The fourth proportional to 7,299.56, 10,072.38 and 4,112.32 is: 5,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.56 : 10,072.38 = 4,112.32 : x
  2. Step 2: Convert to fraction form
    7,299.56/10,072.38 = 4,112.32/x
  3. Step 3: Cross multiply
    7,299.56x = 10,072.38 × 4,112.32
  4. Step 4: Simplify right side
    7,299.56x = 41,420,849.72
  5. Step 5: Solve for x
    x = 41,420,849.72/7,299.56
  6. Step 6: Final answer
    x = 5,674.43

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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.