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Finding the Fourth Proportional to 2,247.29, 3,372.44 and 786.45

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Solution

The fourth proportional to 2,247.29, 3,372.44 and 786.45 is: 1,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.29 : 3,372.44 = 786.45 : x
  2. Step 2: Convert to fraction form
    2,247.29/3,372.44 = 786.45/x
  3. Step 3: Cross multiply
    2,247.29x = 3,372.44 × 786.45
  4. Step 4: Simplify right side
    2,247.29x = 2,652,245.42
  5. Step 5: Solve for x
    x = 2,652,245.42/2,247.29
  6. Step 6: Final answer
    x = 1,180.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.