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Finding the Fourth Proportional to 12,356.19, 18,532.19 and 3,469.48

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Solution

The fourth proportional to 12,356.19, 18,532.19 and 3,469.48 is: 5,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.19 : 18,532.19 = 3,469.48 : x
  2. Step 2: Convert to fraction form
    12,356.19/18,532.19 = 3,469.48/x
  3. Step 3: Cross multiply
    12,356.19x = 18,532.19 × 3,469.48
  4. Step 4: Simplify right side
    12,356.19x = 64,297,062.56
  5. Step 5: Solve for x
    x = 64,297,062.56/12,356.19
  6. Step 6: Final answer
    x = 5,203.63

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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.