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Finding the Fourth Proportional to 2,842.92, 3,922.29 and 1,849.50

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Solution

The fourth proportional to 2,842.92, 3,922.29 and 1,849.50 is: 2,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.92 : 3,922.29 = 1,849.50 : x
  2. Step 2: Convert to fraction form
    2,842.92/3,922.29 = 1,849.50/x
  3. Step 3: Cross multiply
    2,842.92x = 3,922.29 × 1,849.50
  4. Step 4: Simplify right side
    2,842.92x = 7,254,275.36
  5. Step 5: Solve for x
    x = 7,254,275.36/2,842.92
  6. Step 6: Final answer
    x = 2,551.70

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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.