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Finding the Fourth Proportional to 1,842.54, 2,763.81 and 1,072.50

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Solution

The fourth proportional to 1,842.54, 2,763.81 and 1,072.50 is: 1,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.54 : 2,763.81 = 1,072.50 : x
  2. Step 2: Convert to fraction form
    1,842.54/2,763.81 = 1,072.50/x
  3. Step 3: Cross multiply
    1,842.54x = 2,763.81 × 1,072.50
  4. Step 4: Simplify right side
    1,842.54x = 2,964,186.23
  5. Step 5: Solve for x
    x = 2,964,186.23/1,842.54
  6. Step 6: Final answer
    x = 1,608.75

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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.