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Finding the Fourth Proportional to 20,291, 30,448.96 and 8,604.22

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Solution

The fourth proportional to 20,291, 30,448.96 and 8,604.22 is: 12,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291 : 30,448.96 = 8,604.22 : x
  2. Step 2: Convert to fraction form
    20,291/30,448.96 = 8,604.22/x
  3. Step 3: Cross multiply
    20,291x = 30,448.96 × 8,604.22
  4. Step 4: Simplify right side
    20,291x = 261,989,507.59
  5. Step 5: Solve for x
    x = 261,989,507.59/20,291
  6. Step 6: Final answer
    x = 12,911.61

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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.