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Finding the Fourth Proportional to 5,782.48, 7,979.82 and 3,129.89

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Solution

The fourth proportional to 5,782.48, 7,979.82 and 3,129.89 is: 4,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.48 : 7,979.82 = 3,129.89 : x
  2. Step 2: Convert to fraction form
    5,782.48/7,979.82 = 3,129.89/x
  3. Step 3: Cross multiply
    5,782.48x = 7,979.82 × 3,129.89
  4. Step 4: Simplify right side
    5,782.48x = 24,975,903.27
  5. Step 5: Solve for x
    x = 24,975,903.27/5,782.48
  6. Step 6: Final answer
    x = 4,319.24

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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.