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Finding the Fourth Proportional to 8,161.56, 12,243 and 2,615.64

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Solution

The fourth proportional to 8,161.56, 12,243 and 2,615.64 is: 3,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.56 : 12,243 = 2,615.64 : x
  2. Step 2: Convert to fraction form
    8,161.56/12,243 = 2,615.64/x
  3. Step 3: Cross multiply
    8,161.56x = 12,243 × 2,615.64
  4. Step 4: Simplify right side
    8,161.56x = 32,023,280.52
  5. Step 5: Solve for x
    x = 32,023,280.52/8,161.56
  6. Step 6: Final answer
    x = 3,923.67

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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.