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Finding the Fourth Proportional to 7,102.76, 9,801.92 and 3,958.95

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Solution

The fourth proportional to 7,102.76, 9,801.92 and 3,958.95 is: 5,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.76 : 9,801.92 = 3,958.95 : x
  2. Step 2: Convert to fraction form
    7,102.76/9,801.92 = 3,958.95/x
  3. Step 3: Cross multiply
    7,102.76x = 9,801.92 × 3,958.95
  4. Step 4: Simplify right side
    7,102.76x = 38,805,311.18
  5. Step 5: Solve for x
    x = 38,805,311.18/7,102.76
  6. Step 6: Final answer
    x = 5,463.41

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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.