Home / 1,727.74-2,384.26-941.78

Finding the Fourth Proportional to 1,727.74, 2,384.26 and 941.78

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Solution

The fourth proportional to 1,727.74, 2,384.26 and 941.78 is: 1,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.74 : 2,384.26 = 941.78 : x
  2. Step 2: Convert to fraction form
    1,727.74/2,384.26 = 941.78/x
  3. Step 3: Cross multiply
    1,727.74x = 2,384.26 × 941.78
  4. Step 4: Simplify right side
    1,727.74x = 2,245,448.38
  5. Step 5: Solve for x
    x = 2,245,448.38/1,727.74
  6. Step 6: Final answer
    x = 1,299.64

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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.