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Finding the Fourth Proportional to 8,172.64, 12,238.02 and 5,390.86

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Solution

The fourth proportional to 8,172.64, 12,238.02 and 5,390.86 is: 8,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.64 : 12,238.02 = 5,390.86 : x
  2. Step 2: Convert to fraction form
    8,172.64/12,238.02 = 5,390.86/x
  3. Step 3: Cross multiply
    8,172.64x = 12,238.02 × 5,390.86
  4. Step 4: Simplify right side
    8,172.64x = 65,973,452.50
  5. Step 5: Solve for x
    x = 65,973,452.50/8,172.64
  6. Step 6: Final answer
    x = 8,072.48

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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.