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Finding the Fourth Proportional to 20,589, 30,880.77 and 5,799.08

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Solution

The fourth proportional to 20,589, 30,880.77 and 5,799.08 is: 8,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589 : 30,880.77 = 5,799.08 : x
  2. Step 2: Convert to fraction form
    20,589/30,880.77 = 5,799.08/x
  3. Step 3: Cross multiply
    20,589x = 30,880.77 × 5,799.08
  4. Step 4: Simplify right side
    20,589x = 179,080,055.69
  5. Step 5: Solve for x
    x = 179,080,055.69/20,589
  6. Step 6: Final answer
    x = 8,697.85

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1.5x scale

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.