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Finding the Fourth Proportional to 1,988.75, 2,986.83 and 1,826.21

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Solution

The fourth proportional to 1,988.75, 2,986.83 and 1,826.21 is: 2,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.75 : 2,986.83 = 1,826.21 : x
  2. Step 2: Convert to fraction form
    1,988.75/2,986.83 = 1,826.21/x
  3. Step 3: Cross multiply
    1,988.75x = 2,986.83 × 1,826.21
  4. Step 4: Simplify right side
    1,988.75x = 5,454,563.88
  5. Step 5: Solve for x
    x = 5,454,563.88/1,988.75
  6. Step 6: Final answer
    x = 2,742.72

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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.