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Finding the Fourth Proportional to 1,236.03, 1,849.47 and 1,143.99

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Solution

The fourth proportional to 1,236.03, 1,849.47 and 1,143.99 is: 1,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.03 : 1,849.47 = 1,143.99 : x
  2. Step 2: Convert to fraction form
    1,236.03/1,849.47 = 1,143.99/x
  3. Step 3: Cross multiply
    1,236.03x = 1,849.47 × 1,143.99
  4. Step 4: Simplify right side
    1,236.03x = 2,115,775.19
  5. Step 5: Solve for x
    x = 2,115,775.19/1,236.03
  6. Step 6: Final answer
    x = 1,711.75

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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.