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Finding the Fourth Proportional to 7,102.73, 9,801.05 and 4,119.56

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Solution

The fourth proportional to 7,102.73, 9,801.05 and 4,119.56 is: 5,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.73 : 9,801.05 = 4,119.56 : x
  2. Step 2: Convert to fraction form
    7,102.73/9,801.05 = 4,119.56/x
  3. Step 3: Cross multiply
    7,102.73x = 9,801.05 × 4,119.56
  4. Step 4: Simplify right side
    7,102.73x = 40,375,943.93
  5. Step 5: Solve for x
    x = 40,375,943.93/7,102.73
  6. Step 6: Final answer
    x = 5,684.57

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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.