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Finding the Fourth Proportional to 7,207.76, 10,803 and 3,311.12

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Solution

The fourth proportional to 7,207.76, 10,803 and 3,311.12 is: 4,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.76 : 10,803 = 3,311.12 : x
  2. Step 2: Convert to fraction form
    7,207.76/10,803 = 3,311.12/x
  3. Step 3: Cross multiply
    7,207.76x = 10,803 × 3,311.12
  4. Step 4: Simplify right side
    7,207.76x = 35,770,029.36
  5. Step 5: Solve for x
    x = 35,770,029.36/7,207.76
  6. Step 6: Final answer
    x = 4,962.71

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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.