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Finding the Fourth Proportional to 3,627.80, 5,006.36 and 1,971.80

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Solution

The fourth proportional to 3,627.80, 5,006.36 and 1,971.80 is: 2,721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.80 : 5,006.36 = 1,971.80 : x
  2. Step 2: Convert to fraction form
    3,627.80/5,006.36 = 1,971.80/x
  3. Step 3: Cross multiply
    3,627.80x = 5,006.36 × 1,971.80
  4. Step 4: Simplify right side
    3,627.80x = 9,871,540.65
  5. Step 5: Solve for x
    x = 9,871,540.65/3,627.80
  6. Step 6: Final answer
    x = 2,721.08

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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.