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Finding the Fourth Proportional to 1,982.75, 2,975.13 and 1,059.08

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Solution

The fourth proportional to 1,982.75, 2,975.13 and 1,059.08 is: 1,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.75 : 2,975.13 = 1,059.08 : x
  2. Step 2: Convert to fraction form
    1,982.75/2,975.13 = 1,059.08/x
  3. Step 3: Cross multiply
    1,982.75x = 2,975.13 × 1,059.08
  4. Step 4: Simplify right side
    1,982.75x = 3,150,885.80
  5. Step 5: Solve for x
    x = 3,150,885.80/1,982.75
  6. Step 6: Final answer
    x = 1,589.15

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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.