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Finding the Fourth Proportional to 3,675.66, 5,072.45 and 1,997.07

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Solution

The fourth proportional to 3,675.66, 5,072.45 and 1,997.07 is: 2,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.66 : 5,072.45 = 1,997.07 : x
  2. Step 2: Convert to fraction form
    3,675.66/5,072.45 = 1,997.07/x
  3. Step 3: Cross multiply
    3,675.66x = 5,072.45 × 1,997.07
  4. Step 4: Simplify right side
    3,675.66x = 10,130,037.72
  5. Step 5: Solve for x
    x = 10,130,037.72/3,675.66
  6. Step 6: Final answer
    x = 2,755.98

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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.