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Finding the Fourth Proportional to 10,759.28, 14,845.83 and 6,785.42

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Solution

The fourth proportional to 10,759.28, 14,845.83 and 6,785.42 is: 9,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.28 : 14,845.83 = 6,785.42 : x
  2. Step 2: Convert to fraction form
    10,759.28/14,845.83 = 6,785.42/x
  3. Step 3: Cross multiply
    10,759.28x = 14,845.83 × 6,785.42
  4. Step 4: Simplify right side
    10,759.28x = 100,735,191.80
  5. Step 5: Solve for x
    x = 100,735,191.80/10,759.28
  6. Step 6: Final answer
    x = 9,362.63

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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.