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Finding the Fourth Proportional to 5,782.34, 7,979.61 and 3,129.80

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Solution

The fourth proportional to 5,782.34, 7,979.61 and 3,129.80 is: 4,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.34 : 7,979.61 = 3,129.80 : x
  2. Step 2: Convert to fraction form
    5,782.34/7,979.61 = 3,129.80/x
  3. Step 3: Cross multiply
    5,782.34x = 7,979.61 × 3,129.80
  4. Step 4: Simplify right side
    5,782.34x = 24,974,543.48
  5. Step 5: Solve for x
    x = 24,974,543.48/5,782.34
  6. Step 6: Final answer
    x = 4,319.11

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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.