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Finding the Fourth Proportional to 6,880.96, 9,486.56 and 5,469.36

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Solution

The fourth proportional to 6,880.96, 9,486.56 and 5,469.36 is: 7,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.96 : 9,486.56 = 5,469.36 : x
  2. Step 2: Convert to fraction form
    6,880.96/9,486.56 = 5,469.36/x
  3. Step 3: Cross multiply
    6,880.96x = 9,486.56 × 5,469.36
  4. Step 4: Simplify right side
    6,880.96x = 51,885,411.80
  5. Step 5: Solve for x
    x = 51,885,411.80/6,880.96
  6. Step 6: Final answer
    x = 7,540.43

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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.