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Finding the Fourth Proportional to 5,782.38, 7,979.64 and 3,129.82

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Solution

The fourth proportional to 5,782.38, 7,979.64 and 3,129.82 is: 4,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.38 : 7,979.64 = 3,129.82 : x
  2. Step 2: Convert to fraction form
    5,782.38/7,979.64 = 3,129.82/x
  3. Step 3: Cross multiply
    5,782.38x = 7,979.64 × 3,129.82
  4. Step 4: Simplify right side
    5,782.38x = 24,974,836.86
  5. Step 5: Solve for x
    x = 24,974,836.86/5,782.38
  6. Step 6: Final answer
    x = 4,319.13

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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.