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Finding the Fourth Proportional to 3,627.78, 5,006.34 and 1,971.78

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Solution

The fourth proportional to 3,627.78, 5,006.34 and 1,971.78 is: 2,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.78 : 5,006.34 = 1,971.78 : x
  2. Step 2: Convert to fraction form
    3,627.78/5,006.34 = 1,971.78/x
  3. Step 3: Cross multiply
    3,627.78x = 5,006.34 × 1,971.78
  4. Step 4: Simplify right side
    3,627.78x = 9,871,401.09
  5. Step 5: Solve for x
    x = 9,871,401.09/3,627.78
  6. Step 6: Final answer
    x = 2,721.06

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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.