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Finding the Fourth Proportional to 2,648.93, 3,973.85 and 1,089.78

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Solution

The fourth proportional to 2,648.93, 3,973.85 and 1,089.78 is: 1,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.93 : 3,973.85 = 1,089.78 : x
  2. Step 2: Convert to fraction form
    2,648.93/3,973.85 = 1,089.78/x
  3. Step 3: Cross multiply
    2,648.93x = 3,973.85 × 1,089.78
  4. Step 4: Simplify right side
    2,648.93x = 4,330,616.80
  5. Step 5: Solve for x
    x = 4,330,616.80/2,648.93
  6. Step 6: Final answer
    x = 1,634.86

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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.