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Finding the Fourth Proportional to 20,537.63, 30,787.98 and 7,380.80

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Solution

The fourth proportional to 20,537.63, 30,787.98 and 7,380.80 is: 11,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.63 : 30,787.98 = 7,380.80 : x
  2. Step 2: Convert to fraction form
    20,537.63/30,787.98 = 7,380.80/x
  3. Step 3: Cross multiply
    20,537.63x = 30,787.98 × 7,380.80
  4. Step 4: Simplify right side
    20,537.63x = 227,239,922.78
  5. Step 5: Solve for x
    x = 227,239,922.78/20,537.63
  6. Step 6: Final answer
    x = 11,064.56

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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.