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Finding the Fourth Proportional to 8,111.32, 12,164 and 3,950.08

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Solution

The fourth proportional to 8,111.32, 12,164 and 3,950.08 is: 5,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.32 : 12,164 = 3,950.08 : x
  2. Step 2: Convert to fraction form
    8,111.32/12,164 = 3,950.08/x
  3. Step 3: Cross multiply
    8,111.32x = 12,164 × 3,950.08
  4. Step 4: Simplify right side
    8,111.32x = 48,048,773.12
  5. Step 5: Solve for x
    x = 48,048,773.12/8,111.32
  6. Step 6: Final answer
    x = 5,923.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.