Home / 2,049.87-2,828.86-1,165.70

Finding the Fourth Proportional to 2,049.87, 2,828.86 and 1,165.70

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Solution

The fourth proportional to 2,049.87, 2,828.86 and 1,165.70 is: 1,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.87 : 2,828.86 = 1,165.70 : x
  2. Step 2: Convert to fraction form
    2,049.87/2,828.86 = 1,165.70/x
  3. Step 3: Cross multiply
    2,049.87x = 2,828.86 × 1,165.70
  4. Step 4: Simplify right side
    2,049.87x = 3,297,606.26
  5. Step 5: Solve for x
    x = 3,297,606.26/2,049.87
  6. Step 6: Final answer
    x = 1,608.69

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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.