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Finding the Fourth Proportional to 3,675.48, 5,072.13 and 1,996.87

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Solution

The fourth proportional to 3,675.48, 5,072.13 and 1,996.87 is: 2,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.48 : 5,072.13 = 1,996.87 : x
  2. Step 2: Convert to fraction form
    3,675.48/5,072.13 = 1,996.87/x
  3. Step 3: Cross multiply
    3,675.48x = 5,072.13 × 1,996.87
  4. Step 4: Simplify right side
    3,675.48x = 10,128,384.23
  5. Step 5: Solve for x
    x = 10,128,384.23/3,675.48
  6. Step 6: Final answer
    x = 2,755.66

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1.5x scale

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.