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Finding the Fourth Proportional to 1,889.98, 2,826.88 and 1,364.09

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Solution

The fourth proportional to 1,889.98, 2,826.88 and 1,364.09 is: 2,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.98 : 2,826.88 = 1,364.09 : x
  2. Step 2: Convert to fraction form
    1,889.98/2,826.88 = 1,364.09/x
  3. Step 3: Cross multiply
    1,889.98x = 2,826.88 × 1,364.09
  4. Step 4: Simplify right side
    1,889.98x = 3,856,101.19
  5. Step 5: Solve for x
    x = 3,856,101.19/1,889.98
  6. Step 6: Final answer
    x = 2,040.29

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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.