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Finding the Fourth Proportional to 12,313.37, 18,469.89 and 8,354.82

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Solution

The fourth proportional to 12,313.37, 18,469.89 and 8,354.82 is: 12,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.37 : 18,469.89 = 8,354.82 : x
  2. Step 2: Convert to fraction form
    12,313.37/18,469.89 = 8,354.82/x
  3. Step 3: Cross multiply
    12,313.37x = 18,469.89 × 8,354.82
  4. Step 4: Simplify right side
    12,313.37x = 154,312,581.08
  5. Step 5: Solve for x
    x = 154,312,581.08/12,313.37
  6. Step 6: Final answer
    x = 12,532.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.