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Finding the Fourth Proportional to 1,842.94, 2,759.64 and 1,256.56

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Solution

The fourth proportional to 1,842.94, 2,759.64 and 1,256.56 is: 1,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.94 : 2,759.64 = 1,256.56 : x
  2. Step 2: Convert to fraction form
    1,842.94/2,759.64 = 1,256.56/x
  3. Step 3: Cross multiply
    1,842.94x = 2,759.64 × 1,256.56
  4. Step 4: Simplify right side
    1,842.94x = 3,467,653.24
  5. Step 5: Solve for x
    x = 3,467,653.24/1,842.94
  6. Step 6: Final answer
    x = 1,881.59

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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.