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Finding the Fourth Proportional to 20,245, 30,367.50 and 7,094.40

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Solution

The fourth proportional to 20,245, 30,367.50 and 7,094.40 is: 10,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,245 : 30,367.50 = 7,094.40 : x
  2. Step 2: Convert to fraction form
    20,245/30,367.50 = 7,094.40/x
  3. Step 3: Cross multiply
    20,245x = 30,367.50 × 7,094.40
  4. Step 4: Simplify right side
    20,245x = 215,439,192
  5. Step 5: Solve for x
    x = 215,439,192/20,245
  6. Step 6: Final answer
    x = 10,641.60

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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.