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Finding the Fourth Proportional to 2,913.30, 4,371.03 and 1,183.14

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Solution

The fourth proportional to 2,913.30, 4,371.03 and 1,183.14 is: 1,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.30 : 4,371.03 = 1,183.14 : x
  2. Step 2: Convert to fraction form
    2,913.30/4,371.03 = 1,183.14/x
  3. Step 3: Cross multiply
    2,913.30x = 4,371.03 × 1,183.14
  4. Step 4: Simplify right side
    2,913.30x = 5,171,540.43
  5. Step 5: Solve for x
    x = 5,171,540.43/2,913.30
  6. Step 6: Final answer
    x = 1,775.15

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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.