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Finding the Fourth Proportional to 2,698.76, 3,722.69 and 1,649

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Solution

The fourth proportional to 2,698.76, 3,722.69 and 1,649 is: 2,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.76 : 3,722.69 = 1,649 : x
  2. Step 2: Convert to fraction form
    2,698.76/3,722.69 = 1,649/x
  3. Step 3: Cross multiply
    2,698.76x = 3,722.69 × 1,649
  4. Step 4: Simplify right side
    2,698.76x = 6,138,707.57
  5. Step 5: Solve for x
    x = 6,138,707.57/2,698.76
  6. Step 6: Final answer
    x = 2,274.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.