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Finding the Fourth Proportional to 3,627.56, 5,006.04 and 1,971.56

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Solution

The fourth proportional to 3,627.56, 5,006.04 and 1,971.56 is: 2,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.56 : 5,006.04 = 1,971.56 : x
  2. Step 2: Convert to fraction form
    3,627.56/5,006.04 = 1,971.56/x
  3. Step 3: Cross multiply
    3,627.56x = 5,006.04 × 1,971.56
  4. Step 4: Simplify right side
    3,627.56x = 9,869,713.34
  5. Step 5: Solve for x
    x = 9,869,713.34/3,627.56
  6. Step 6: Final answer
    x = 2,720.76

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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.