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Finding the Fourth Proportional to 2,187.76, 3,018.99 and 1,243.43

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Solution

The fourth proportional to 2,187.76, 3,018.99 and 1,243.43 is: 1,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.76 : 3,018.99 = 1,243.43 : x
  2. Step 2: Convert to fraction form
    2,187.76/3,018.99 = 1,243.43/x
  3. Step 3: Cross multiply
    2,187.76x = 3,018.99 × 1,243.43
  4. Step 4: Simplify right side
    2,187.76x = 3,753,887.64
  5. Step 5: Solve for x
    x = 3,753,887.64/2,187.76
  6. Step 6: Final answer
    x = 1,715.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.