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Finding the Fourth Proportional to 8,103.50, 12,156 and 3,720.32

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Solution

The fourth proportional to 8,103.50, 12,156 and 3,720.32 is: 5,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.50 : 12,156 = 3,720.32 : x
  2. Step 2: Convert to fraction form
    8,103.50/12,156 = 3,720.32/x
  3. Step 3: Cross multiply
    8,103.50x = 12,156 × 3,720.32
  4. Step 4: Simplify right side
    8,103.50x = 45,224,209.92
  5. Step 5: Solve for x
    x = 45,224,209.92/8,103.50
  6. Step 6: Final answer
    x = 5,580.82

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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.