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Finding the Fourth Proportional to 2,672.84, 4,009.71 and 1,192.59

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Solution

The fourth proportional to 2,672.84, 4,009.71 and 1,192.59 is: 1,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.84 : 4,009.71 = 1,192.59 : x
  2. Step 2: Convert to fraction form
    2,672.84/4,009.71 = 1,192.59/x
  3. Step 3: Cross multiply
    2,672.84x = 4,009.71 × 1,192.59
  4. Step 4: Simplify right side
    2,672.84x = 4,781,940.05
  5. Step 5: Solve for x
    x = 4,781,940.05/2,672.84
  6. Step 6: Final answer
    x = 1,789.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.