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Finding the Fourth Proportional to 3,638.44, 5,021 and 2,066.57

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Solution

The fourth proportional to 3,638.44, 5,021 and 2,066.57 is: 2,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.44 : 5,021 = 2,066.57 : x
  2. Step 2: Convert to fraction form
    3,638.44/5,021 = 2,066.57/x
  3. Step 3: Cross multiply
    3,638.44x = 5,021 × 2,066.57
  4. Step 4: Simplify right side
    3,638.44x = 10,376,222.87
  5. Step 5: Solve for x
    x = 10,376,222.87/3,638.44
  6. Step 6: Final answer
    x = 2,851.84

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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.