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Finding the Fourth Proportional to 2,014.49, 3,018.87 and 843.23

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Solution

The fourth proportional to 2,014.49, 3,018.87 and 843.23 is: 1,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.49 : 3,018.87 = 843.23 : x
  2. Step 2: Convert to fraction form
    2,014.49/3,018.87 = 843.23/x
  3. Step 3: Cross multiply
    2,014.49x = 3,018.87 × 843.23
  4. Step 4: Simplify right side
    2,014.49x = 2,545,601.75
  5. Step 5: Solve for x
    x = 2,545,601.75/2,014.49
  6. Step 6: Final answer
    x = 1,263.65

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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.