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Finding the Fourth Proportional to 2,842.84, 3,923.13 and 1,849.81

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Solution

The fourth proportional to 2,842.84, 3,923.13 and 1,849.81 is: 2,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.84 : 3,923.13 = 1,849.81 : x
  2. Step 2: Convert to fraction form
    2,842.84/3,923.13 = 1,849.81/x
  3. Step 3: Cross multiply
    2,842.84x = 3,923.13 × 1,849.81
  4. Step 4: Simplify right side
    2,842.84x = 7,257,028.36
  5. Step 5: Solve for x
    x = 7,257,028.36/2,842.84
  6. Step 6: Final answer
    x = 2,552.74

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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.