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Finding the Fourth Proportional to 7,142.94, 9,856.71 and 3,998.70

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Solution

The fourth proportional to 7,142.94, 9,856.71 and 3,998.70 is: 5,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.94 : 9,856.71 = 3,998.70 : x
  2. Step 2: Convert to fraction form
    7,142.94/9,856.71 = 3,998.70/x
  3. Step 3: Cross multiply
    7,142.94x = 9,856.71 × 3,998.70
  4. Step 4: Simplify right side
    7,142.94x = 39,414,026.28
  5. Step 5: Solve for x
    x = 39,414,026.28/7,142.94
  6. Step 6: Final answer
    x = 5,517.90

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