Home / 1,873.26-2,582.70-1,282.78

Finding the Fourth Proportional to 1,873.26, 2,582.70 and 1,282.78

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Solution

The fourth proportional to 1,873.26, 2,582.70 and 1,282.78 is: 1,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.26 : 2,582.70 = 1,282.78 : x
  2. Step 2: Convert to fraction form
    1,873.26/2,582.70 = 1,282.78/x
  3. Step 3: Cross multiply
    1,873.26x = 2,582.70 × 1,282.78
  4. Step 4: Simplify right side
    1,873.26x = 3,313,035.91
  5. Step 5: Solve for x
    x = 3,313,035.91/1,873.26
  6. Step 6: Final answer
    x = 1,768.59

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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.