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Finding the Fourth Proportional to 6,906.96, 9,531.64 and 4,112.56

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Solution

The fourth proportional to 6,906.96, 9,531.64 and 4,112.56 is: 5,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.96 : 9,531.64 = 4,112.56 : x
  2. Step 2: Convert to fraction form
    6,906.96/9,531.64 = 4,112.56/x
  3. Step 3: Cross multiply
    6,906.96x = 9,531.64 × 4,112.56
  4. Step 4: Simplify right side
    6,906.96x = 39,199,441.40
  5. Step 5: Solve for x
    x = 39,199,441.40/6,906.96
  6. Step 6: Final answer
    x = 5,675.35

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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.