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Finding the Fourth Proportional to 10,711.78, 14,782.50 and 6,236.33

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Solution

The fourth proportional to 10,711.78, 14,782.50 and 6,236.33 is: 8,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.78 : 14,782.50 = 6,236.33 : x
  2. Step 2: Convert to fraction form
    10,711.78/14,782.50 = 6,236.33/x
  3. Step 3: Cross multiply
    10,711.78x = 14,782.50 × 6,236.33
  4. Step 4: Simplify right side
    10,711.78x = 92,188,474.31
  5. Step 5: Solve for x
    x = 92,188,474.31/10,711.78
  6. Step 6: Final answer
    x = 8,606.27

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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.