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Finding the Fourth Proportional to 20,588.42, 30,891.64 and 8,909.30

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Solution

The fourth proportional to 20,588.42, 30,891.64 and 8,909.30 is: 13,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.42 : 30,891.64 = 8,909.30 : x
  2. Step 2: Convert to fraction form
    20,588.42/30,891.64 = 8,909.30/x
  3. Step 3: Cross multiply
    20,588.42x = 30,891.64 × 8,909.30
  4. Step 4: Simplify right side
    20,588.42x = 275,222,888.25
  5. Step 5: Solve for x
    x = 275,222,888.25/20,588.42
  6. Step 6: Final answer
    x = 13,367.85

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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.