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Finding the Fourth Proportional to 10,950.50, 15,111.70 and 5,982.50

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Solution

The fourth proportional to 10,950.50, 15,111.70 and 5,982.50 is: 8,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.50 : 15,111.70 = 5,982.50 : x
  2. Step 2: Convert to fraction form
    10,950.50/15,111.70 = 5,982.50/x
  3. Step 3: Cross multiply
    10,950.50x = 15,111.70 × 5,982.50
  4. Step 4: Simplify right side
    10,950.50x = 90,405,745.25
  5. Step 5: Solve for x
    x = 90,405,745.25/10,950.50
  6. Step 6: Final answer
    x = 8,255.86

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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.