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Finding the Fourth Proportional to 20,255.22, 30,393.50 and 10,394.50

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Solution

The fourth proportional to 20,255.22, 30,393.50 and 10,394.50 is: 15,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255.22 : 30,393.50 = 10,394.50 : x
  2. Step 2: Convert to fraction form
    20,255.22/30,393.50 = 10,394.50/x
  3. Step 3: Cross multiply
    20,255.22x = 30,393.50 × 10,394.50
  4. Step 4: Simplify right side
    20,255.22x = 315,925,146.77
  5. Step 5: Solve for x
    x = 315,925,146.77/20,255.22
  6. Step 6: Final answer
    x = 15,597.22

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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.