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Finding the Fourth Proportional to 8,440.75, 12,663.15 and 3,823.75

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Solution

The fourth proportional to 8,440.75, 12,663.15 and 3,823.75 is: 5,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.75 : 12,663.15 = 3,823.75 : x
  2. Step 2: Convert to fraction form
    8,440.75/12,663.15 = 3,823.75/x
  3. Step 3: Cross multiply
    8,440.75x = 12,663.15 × 3,823.75
  4. Step 4: Simplify right side
    8,440.75x = 48,420,719.81
  5. Step 5: Solve for x
    x = 48,420,719.81/8,440.75
  6. Step 6: Final answer
    x = 5,736.54

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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.