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Finding the Fourth Proportional to 18,917.94, 28,347.48 and 7,224.78

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Solution

The fourth proportional to 18,917.94, 28,347.48 and 7,224.78 is: 10,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,917.94 : 28,347.48 = 7,224.78 : x
  2. Step 2: Convert to fraction form
    18,917.94/28,347.48 = 7,224.78/x
  3. Step 3: Cross multiply
    18,917.94x = 28,347.48 × 7,224.78
  4. Step 4: Simplify right side
    18,917.94x = 204,804,306.55
  5. Step 5: Solve for x
    x = 204,804,306.55/18,917.94
  6. Step 6: Final answer
    x = 10,825.93

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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.