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Finding the Fourth Proportional to 20,530.74, 30,797.86 and 5,739.66

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Solution

The fourth proportional to 20,530.74, 30,797.86 and 5,739.66 is: 8,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.74 : 30,797.86 = 5,739.66 : x
  2. Step 2: Convert to fraction form
    20,530.74/30,797.86 = 5,739.66/x
  3. Step 3: Cross multiply
    20,530.74x = 30,797.86 × 5,739.66
  4. Step 4: Simplify right side
    20,530.74x = 176,769,245.13
  5. Step 5: Solve for x
    x = 176,769,245.13/20,530.74
  6. Step 6: Final answer
    x = 8,609.98

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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.