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Finding the Fourth Proportional to 2,709.14, 4,064.78 and 1,149.48

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Solution

The fourth proportional to 2,709.14, 4,064.78 and 1,149.48 is: 1,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.14 : 4,064.78 = 1,149.48 : x
  2. Step 2: Convert to fraction form
    2,709.14/4,064.78 = 1,149.48/x
  3. Step 3: Cross multiply
    2,709.14x = 4,064.78 × 1,149.48
  4. Step 4: Simplify right side
    2,709.14x = 4,672,383.31
  5. Step 5: Solve for x
    x = 4,672,383.31/2,709.14
  6. Step 6: Final answer
    x = 1,724.67

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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.