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Finding the Fourth Proportional to 3,015.87, 4,523.82 and 1,982.40

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Solution

The fourth proportional to 3,015.87, 4,523.82 and 1,982.40 is: 2,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.87 : 4,523.82 = 1,982.40 : x
  2. Step 2: Convert to fraction form
    3,015.87/4,523.82 = 1,982.40/x
  3. Step 3: Cross multiply
    3,015.87x = 4,523.82 × 1,982.40
  4. Step 4: Simplify right side
    3,015.87x = 8,968,020.77
  5. Step 5: Solve for x
    x = 8,968,020.77/3,015.87
  6. Step 6: Final answer
    x = 2,973.61

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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.