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Finding the Fourth Proportional to 8,245.12, 12,369.12 and 3,628

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Solution

The fourth proportional to 8,245.12, 12,369.12 and 3,628 is: 5,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.12 : 12,369.12 = 3,628 : x
  2. Step 2: Convert to fraction form
    8,245.12/12,369.12 = 3,628/x
  3. Step 3: Cross multiply
    8,245.12x = 12,369.12 × 3,628
  4. Step 4: Simplify right side
    8,245.12x = 44,875,167.36
  5. Step 5: Solve for x
    x = 44,875,167.36/8,245.12
  6. Step 6: Final answer
    x = 5,442.63

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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.