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Finding the Fourth Proportional to 20,651.80, 30,978.88 and 5,859.55

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Solution

The fourth proportional to 20,651.80, 30,978.88 and 5,859.55 is: 8,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.80 : 30,978.88 = 5,859.55 : x
  2. Step 2: Convert to fraction form
    20,651.80/30,978.88 = 5,859.55/x
  3. Step 3: Cross multiply
    20,651.80x = 30,978.88 × 5,859.55
  4. Step 4: Simplify right side
    20,651.80x = 181,522,296.30
  5. Step 5: Solve for x
    x = 181,522,296.30/20,651.80
  6. Step 6: Final answer
    x = 8,789.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.