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Finding the Fourth Proportional to 20,222.64, 30,333.96 and 7,902

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Solution

The fourth proportional to 20,222.64, 30,333.96 and 7,902 is: 11,853

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.64 : 30,333.96 = 7,902 : x
  2. Step 2: Convert to fraction form
    20,222.64/30,333.96 = 7,902/x
  3. Step 3: Cross multiply
    20,222.64x = 30,333.96 × 7,902
  4. Step 4: Simplify right side
    20,222.64x = 239,698,951.92
  5. Step 5: Solve for x
    x = 239,698,951.92/20,222.64
  6. Step 6: Final answer
    x = 11,853

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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.