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Finding the Fourth Proportional to 36,960, 51,004.80 and 20,193.12

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Solution

The fourth proportional to 36,960, 51,004.80 and 20,193.12 is: 27,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,960 : 51,004.80 = 20,193.12 : x
  2. Step 2: Convert to fraction form
    36,960/51,004.80 = 20,193.12/x
  3. Step 3: Cross multiply
    36,960x = 51,004.80 × 20,193.12
  4. Step 4: Simplify right side
    36,960x = 1,029,946,046.98
  5. Step 5: Solve for x
    x = 1,029,946,046.98/36,960
  6. Step 6: Final answer
    x = 27,866.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.