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Finding the Fourth Proportional to 3,987.09, 5,975.15 and 2,035.22

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Solution

The fourth proportional to 3,987.09, 5,975.15 and 2,035.22 is: 3,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.09 : 5,975.15 = 2,035.22 : x
  2. Step 2: Convert to fraction form
    3,987.09/5,975.15 = 2,035.22/x
  3. Step 3: Cross multiply
    3,987.09x = 5,975.15 × 2,035.22
  4. Step 4: Simplify right side
    3,987.09x = 12,160,704.73
  5. Step 5: Solve for x
    x = 12,160,704.73/3,987.09
  6. Step 6: Final answer
    x = 3,050.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.