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Finding the Fourth Proportional to 5,782.29, 7,979.47 and 3,129.64

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Solution

The fourth proportional to 5,782.29, 7,979.47 and 3,129.64 is: 4,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.29 : 7,979.47 = 3,129.64 : x
  2. Step 2: Convert to fraction form
    5,782.29/7,979.47 = 3,129.64/x
  3. Step 3: Cross multiply
    5,782.29x = 7,979.47 × 3,129.64
  4. Step 4: Simplify right side
    5,782.29x = 24,972,868.49
  5. Step 5: Solve for x
    x = 24,972,868.49/5,782.29
  6. Step 6: Final answer
    x = 4,318.85

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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.