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Finding the Fourth Proportional to 2,698.97, 3,724.67 and 1,520.06

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Solution

The fourth proportional to 2,698.97, 3,724.67 and 1,520.06 is: 2,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.97 : 3,724.67 = 1,520.06 : x
  2. Step 2: Convert to fraction form
    2,698.97/3,724.67 = 1,520.06/x
  3. Step 3: Cross multiply
    2,698.97x = 3,724.67 × 1,520.06
  4. Step 4: Simplify right side
    2,698.97x = 5,661,714.28
  5. Step 5: Solve for x
    x = 5,661,714.28/2,698.97
  6. Step 6: Final answer
    x = 2,097.73

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1.5x scale

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.