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Finding the Fourth Proportional to 7,131.96, 10,702.17 and 3,236.31

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Solution

The fourth proportional to 7,131.96, 10,702.17 and 3,236.31 is: 4,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.96 : 10,702.17 = 3,236.31 : x
  2. Step 2: Convert to fraction form
    7,131.96/10,702.17 = 3,236.31/x
  3. Step 3: Cross multiply
    7,131.96x = 10,702.17 × 3,236.31
  4. Step 4: Simplify right side
    7,131.96x = 34,635,539.79
  5. Step 5: Solve for x
    x = 34,635,539.79/7,131.96
  6. Step 6: Final answer
    x = 4,856.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.