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Finding the Fourth Proportional to 3,987.09, 5,975.17 and 2,035.19

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Solution

The fourth proportional to 3,987.09, 5,975.17 and 2,035.19 is: 3,050.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.09 : 5,975.17 = 2,035.19 : x
  2. Step 2: Convert to fraction form
    3,987.09/5,975.17 = 2,035.19/x
  3. Step 3: Cross multiply
    3,987.09x = 5,975.17 × 2,035.19
  4. Step 4: Simplify right side
    3,987.09x = 12,160,616.08
  5. Step 5: Solve for x
    x = 12,160,616.08/3,987.09
  6. Step 6: Final answer
    x = 3,050.00

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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.