Home / 3,132-4,693.12-1,183.14

Finding the Fourth Proportional to 3,132, 4,693.12 and 1,183.14

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Solution

The fourth proportional to 3,132, 4,693.12 and 1,183.14 is: 1,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132 : 4,693.12 = 1,183.14 : x
  2. Step 2: Convert to fraction form
    3,132/4,693.12 = 1,183.14/x
  3. Step 3: Cross multiply
    3,132x = 4,693.12 × 1,183.14
  4. Step 4: Simplify right side
    3,132x = 5,552,618.00
  5. Step 5: Solve for x
    x = 5,552,618.00/3,132
  6. Step 6: Final answer
    x = 1,772.87

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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.