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Finding the Fourth Proportional to 1,886.32, 2,826.84 and 844.96

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Solution

The fourth proportional to 1,886.32, 2,826.84 and 844.96 is: 1,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.32 : 2,826.84 = 844.96 : x
  2. Step 2: Convert to fraction form
    1,886.32/2,826.84 = 844.96/x
  3. Step 3: Cross multiply
    1,886.32x = 2,826.84 × 844.96
  4. Step 4: Simplify right side
    1,886.32x = 2,388,566.73
  5. Step 5: Solve for x
    x = 2,388,566.73/1,886.32
  6. Step 6: Final answer
    x = 1,266.26

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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.