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Finding the Fourth Proportional to 2,792.30, 4,182.98 and 1,619.84

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Solution

The fourth proportional to 2,792.30, 4,182.98 and 1,619.84 is: 2,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.30 : 4,182.98 = 1,619.84 : x
  2. Step 2: Convert to fraction form
    2,792.30/4,182.98 = 1,619.84/x
  3. Step 3: Cross multiply
    2,792.30x = 4,182.98 × 1,619.84
  4. Step 4: Simplify right side
    2,792.30x = 6,775,764.73
  5. Step 5: Solve for x
    x = 6,775,764.73/2,792.30
  6. Step 6: Final answer
    x = 2,426.59

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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.