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Finding the Fourth Proportional to 5,059.34, 6,981.62 and 3,171

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Solution

The fourth proportional to 5,059.34, 6,981.62 and 3,171 is: 4,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.34 : 6,981.62 = 3,171 : x
  2. Step 2: Convert to fraction form
    5,059.34/6,981.62 = 3,171/x
  3. Step 3: Cross multiply
    5,059.34x = 6,981.62 × 3,171
  4. Step 4: Simplify right side
    5,059.34x = 22,138,701.17
  5. Step 5: Solve for x
    x = 22,138,701.17/5,059.34
  6. Step 6: Final answer
    x = 4,375.81

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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.