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Finding the Fourth Proportional to 20,132, 30,202.32 and 7,820

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Solution

The fourth proportional to 20,132, 30,202.32 and 7,820 is: 11,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132 : 30,202.32 = 7,820 : x
  2. Step 2: Convert to fraction form
    20,132/30,202.32 = 7,820/x
  3. Step 3: Cross multiply
    20,132x = 30,202.32 × 7,820
  4. Step 4: Simplify right side
    20,132x = 236,182,142.40
  5. Step 5: Solve for x
    x = 236,182,142.40/20,132
  6. Step 6: Final answer
    x = 11,731.68

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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.