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Finding the Fourth Proportional to 3,755.28, 5,631.12 and 1,289.46

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Solution

The fourth proportional to 3,755.28, 5,631.12 and 1,289.46 is: 1,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.28 : 5,631.12 = 1,289.46 : x
  2. Step 2: Convert to fraction form
    3,755.28/5,631.12 = 1,289.46/x
  3. Step 3: Cross multiply
    3,755.28x = 5,631.12 × 1,289.46
  4. Step 4: Simplify right side
    3,755.28x = 7,261,104.00
  5. Step 5: Solve for x
    x = 7,261,104.00/3,755.28
  6. Step 6: Final answer
    x = 1,933.57

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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.