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Finding the Fourth Proportional to 20,216.70, 30,253.05 and 12,824.70

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Solution

The fourth proportional to 20,216.70, 30,253.05 and 12,824.70 is: 19,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.70 : 30,253.05 = 12,824.70 : x
  2. Step 2: Convert to fraction form
    20,216.70/30,253.05 = 12,824.70/x
  3. Step 3: Cross multiply
    20,216.70x = 30,253.05 × 12,824.70
  4. Step 4: Simplify right side
    20,216.70x = 387,986,290.34
  5. Step 5: Solve for x
    x = 387,986,290.34/20,216.70
  6. Step 6: Final answer
    x = 19,191.38

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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.