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Finding the Fourth Proportional to 5,321.34, 7,979.25 and 1,857.78

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Solution

The fourth proportional to 5,321.34, 7,979.25 and 1,857.78 is: 2,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.34 : 7,979.25 = 1,857.78 : x
  2. Step 2: Convert to fraction form
    5,321.34/7,979.25 = 1,857.78/x
  3. Step 3: Cross multiply
    5,321.34x = 7,979.25 × 1,857.78
  4. Step 4: Simplify right side
    5,321.34x = 14,823,691.07
  5. Step 5: Solve for x
    x = 14,823,691.07/5,321.34
  6. Step 6: Final answer
    x = 2,785.71

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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.