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Finding the Fourth Proportional to 15,053.44, 20,773.69 and 8,680

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Solution

The fourth proportional to 15,053.44, 20,773.69 and 8,680 is: 11,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,053.44 : 20,773.69 = 8,680 : x
  2. Step 2: Convert to fraction form
    15,053.44/20,773.69 = 8,680/x
  3. Step 3: Cross multiply
    15,053.44x = 20,773.69 × 8,680
  4. Step 4: Simplify right side
    15,053.44x = 180,315,629.20
  5. Step 5: Solve for x
    x = 180,315,629.20/15,053.44
  6. Step 6: Final answer
    x = 11,978.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.