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Finding the Fourth Proportional to 12,128.44, 18,193.02 and 3,364

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Solution

The fourth proportional to 12,128.44, 18,193.02 and 3,364 is: 5,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.44 : 18,193.02 = 3,364 : x
  2. Step 2: Convert to fraction form
    12,128.44/18,193.02 = 3,364/x
  3. Step 3: Cross multiply
    12,128.44x = 18,193.02 × 3,364
  4. Step 4: Simplify right side
    12,128.44x = 61,201,319.28
  5. Step 5: Solve for x
    x = 61,201,319.28/12,128.44
  6. Step 6: Final answer
    x = 5,046.10

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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.