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Finding the Fourth Proportional to 7,190.67, 10,781.60 and 2,803

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Solution

The fourth proportional to 7,190.67, 10,781.60 and 2,803 is: 4,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.67 : 10,781.60 = 2,803 : x
  2. Step 2: Convert to fraction form
    7,190.67/10,781.60 = 2,803/x
  3. Step 3: Cross multiply
    7,190.67x = 10,781.60 × 2,803
  4. Step 4: Simplify right side
    7,190.67x = 30,220,821.30
  5. Step 5: Solve for x
    x = 30,220,821.30/7,190.67
  6. Step 6: Final answer
    x = 4,202.78

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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.