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Finding the Fourth Proportional to 5,782.14, 7,979.34 and 3,129.54

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Solution

The fourth proportional to 5,782.14, 7,979.34 and 3,129.54 is: 4,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.14 : 7,979.34 = 3,129.54 : x
  2. Step 2: Convert to fraction form
    5,782.14/7,979.34 = 3,129.54/x
  3. Step 3: Cross multiply
    5,782.14x = 7,979.34 × 3,129.54
  4. Step 4: Simplify right side
    5,782.14x = 24,971,663.70
  5. Step 5: Solve for x
    x = 24,971,663.70/5,782.14
  6. Step 6: Final answer
    x = 4,318.76

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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.