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Finding the Fourth Proportional to 2,872.54, 4,305.08 and 1,290.09

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Solution

The fourth proportional to 2,872.54, 4,305.08 and 1,290.09 is: 1,933.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.54 : 4,305.08 = 1,290.09 : x
  2. Step 2: Convert to fraction form
    2,872.54/4,305.08 = 1,290.09/x
  3. Step 3: Cross multiply
    2,872.54x = 4,305.08 × 1,290.09
  4. Step 4: Simplify right side
    2,872.54x = 5,553,940.66
  5. Step 5: Solve for x
    x = 5,553,940.66/2,872.54
  6. Step 6: Final answer
    x = 1,933.46

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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.