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Finding the Fourth Proportional to 18,403.74, 27,605.25 and 5,256

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Solution

The fourth proportional to 18,403.74, 27,605.25 and 5,256 is: 7,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,403.74 : 27,605.25 = 5,256 : x
  2. Step 2: Convert to fraction form
    18,403.74/27,605.25 = 5,256/x
  3. Step 3: Cross multiply
    18,403.74x = 27,605.25 × 5,256
  4. Step 4: Simplify right side
    18,403.74x = 145,093,194
  5. Step 5: Solve for x
    x = 145,093,194/18,403.74
  6. Step 6: Final answer
    x = 7,883.90

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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.