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Finding the Fourth Proportional to 27,745, 41,617.50 and 8,289

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Solution

The fourth proportional to 27,745, 41,617.50 and 8,289 is: 12,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745 : 41,617.50 = 8,289 : x
  2. Step 2: Convert to fraction form
    27,745/41,617.50 = 8,289/x
  3. Step 3: Cross multiply
    27,745x = 41,617.50 × 8,289
  4. Step 4: Simplify right side
    27,745x = 344,967,457.50
  5. Step 5: Solve for x
    x = 344,967,457.50/27,745
  6. Step 6: Final answer
    x = 12,433.50

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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.