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Finding the Fourth Proportional to 20,232, 30,290.76 and 10,722.63

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Solution

The fourth proportional to 20,232, 30,290.76 and 10,722.63 is: 16,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232 : 30,290.76 = 10,722.63 : x
  2. Step 2: Convert to fraction form
    20,232/30,290.76 = 10,722.63/x
  3. Step 3: Cross multiply
    20,232x = 30,290.76 × 10,722.63
  4. Step 4: Simplify right side
    20,232x = 324,796,611.90
  5. Step 5: Solve for x
    x = 324,796,611.90/20,232
  6. Step 6: Final answer
    x = 16,053.61

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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.