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Finding the Fourth Proportional to 1,247, 1,720.38 and 827.56

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Solution

The fourth proportional to 1,247, 1,720.38 and 827.56 is: 1,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247 : 1,720.38 = 827.56 : x
  2. Step 2: Convert to fraction form
    1,247/1,720.38 = 827.56/x
  3. Step 3: Cross multiply
    1,247x = 1,720.38 × 827.56
  4. Step 4: Simplify right side
    1,247x = 1,423,717.67
  5. Step 5: Solve for x
    x = 1,423,717.67/1,247
  6. Step 6: Final answer
    x = 1,141.71

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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.