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Finding the Fourth Proportional to 11,573.80, 17,356.80 and 3,780.80

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Solution

The fourth proportional to 11,573.80, 17,356.80 and 3,780.80 is: 5,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.80 : 17,356.80 = 3,780.80 : x
  2. Step 2: Convert to fraction form
    11,573.80/17,356.80 = 3,780.80/x
  3. Step 3: Cross multiply
    11,573.80x = 17,356.80 × 3,780.80
  4. Step 4: Simplify right side
    11,573.80x = 65,622,589.44
  5. Step 5: Solve for x
    x = 65,622,589.44/11,573.80
  6. Step 6: Final answer
    x = 5,669.93

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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.