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Finding the Fourth Proportional to 27,225.96, 40,813 and 8,745

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Solution

The fourth proportional to 27,225.96, 40,813 and 8,745 is: 13,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225.96 : 40,813 = 8,745 : x
  2. Step 2: Convert to fraction form
    27,225.96/40,813 = 8,745/x
  3. Step 3: Cross multiply
    27,225.96x = 40,813 × 8,745
  4. Step 4: Simplify right side
    27,225.96x = 356,909,685
  5. Step 5: Solve for x
    x = 356,909,685/27,225.96
  6. Step 6: Final answer
    x = 13,109.17

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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.