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Finding the Fourth Proportional to 2,709.62, 4,065.15 and 1,149.68

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Solution

The fourth proportional to 2,709.62, 4,065.15 and 1,149.68 is: 1,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.62 : 4,065.15 = 1,149.68 : x
  2. Step 2: Convert to fraction form
    2,709.62/4,065.15 = 1,149.68/x
  3. Step 3: Cross multiply
    2,709.62x = 4,065.15 × 1,149.68
  4. Step 4: Simplify right side
    2,709.62x = 4,673,631.81
  5. Step 5: Solve for x
    x = 4,673,631.81/2,709.62
  6. Step 6: Final answer
    x = 1,724.83

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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.