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Finding the Fourth Proportional to 8,091.42, 12,138 and 2,544.93

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Solution

The fourth proportional to 8,091.42, 12,138 and 2,544.93 is: 3,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.42 : 12,138 = 2,544.93 : x
  2. Step 2: Convert to fraction form
    8,091.42/12,138 = 2,544.93/x
  3. Step 3: Cross multiply
    8,091.42x = 12,138 × 2,544.93
  4. Step 4: Simplify right side
    8,091.42x = 30,890,360.34
  5. Step 5: Solve for x
    x = 30,890,360.34/8,091.42
  6. Step 6: Final answer
    x = 3,817.67

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Why These Related Problems?

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