Home / 1,754.30-2,628.61-827.66

Finding the Fourth Proportional to 1,754.30, 2,628.61 and 827.66

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Solution

The fourth proportional to 1,754.30, 2,628.61 and 827.66 is: 1,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.30 : 2,628.61 = 827.66 : x
  2. Step 2: Convert to fraction form
    1,754.30/2,628.61 = 827.66/x
  3. Step 3: Cross multiply
    1,754.30x = 2,628.61 × 827.66
  4. Step 4: Simplify right side
    1,754.30x = 2,175,595.35
  5. Step 5: Solve for x
    x = 2,175,595.35/1,754.30
  6. Step 6: Final answer
    x = 1,240.15

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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.