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Finding the Fourth Proportional to 2,500.12, 3,749.50 and 940.06

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Solution

The fourth proportional to 2,500.12, 3,749.50 and 940.06 is: 1,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.12 : 3,749.50 = 940.06 : x
  2. Step 2: Convert to fraction form
    2,500.12/3,749.50 = 940.06/x
  3. Step 3: Cross multiply
    2,500.12x = 3,749.50 × 940.06
  4. Step 4: Simplify right side
    2,500.12x = 3,524,754.97
  5. Step 5: Solve for x
    x = 3,524,754.97/2,500.12
  6. Step 6: Final answer
    x = 1,409.83

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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.