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Finding the Fourth Proportional to 8,243.74, 12,365.43 and 2,003.78

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Solution

The fourth proportional to 8,243.74, 12,365.43 and 2,003.78 is: 3,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.74 : 12,365.43 = 2,003.78 : x
  2. Step 2: Convert to fraction form
    8,243.74/12,365.43 = 2,003.78/x
  3. Step 3: Cross multiply
    8,243.74x = 12,365.43 × 2,003.78
  4. Step 4: Simplify right side
    8,243.74x = 24,777,601.33
  5. Step 5: Solve for x
    x = 24,777,601.33/8,243.74
  6. Step 6: Final answer
    x = 3,005.63

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1.5x scale

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.