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Finding the Fourth Proportional to 2,648.90, 3,976.09 and 1,675.69

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Solution

The fourth proportional to 2,648.90, 3,976.09 and 1,675.69 is: 2,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.90 : 3,976.09 = 1,675.69 : x
  2. Step 2: Convert to fraction form
    2,648.90/3,976.09 = 1,675.69/x
  3. Step 3: Cross multiply
    2,648.90x = 3,976.09 × 1,675.69
  4. Step 4: Simplify right side
    2,648.90x = 6,662,680.12
  5. Step 5: Solve for x
    x = 6,662,680.12/2,648.90
  6. Step 6: Final answer
    x = 2,515.26

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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.