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Finding the Fourth Proportional to 3,987.90, 5,978.07 and 2,012.22

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Solution

The fourth proportional to 3,987.90, 5,978.07 and 2,012.22 is: 3,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.90 : 5,978.07 = 2,012.22 : x
  2. Step 2: Convert to fraction form
    3,987.90/5,978.07 = 2,012.22/x
  3. Step 3: Cross multiply
    3,987.90x = 5,978.07 × 2,012.22
  4. Step 4: Simplify right side
    3,987.90x = 12,029,192.02
  5. Step 5: Solve for x
    x = 12,029,192.02/3,987.90
  6. Step 6: Final answer
    x = 3,016.42

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1.5x scale

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.