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Finding the Fourth Proportional to 1,830.06, 2,743.41 and 675

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Solution

The fourth proportional to 1,830.06, 2,743.41 and 675 is: 1,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.06 : 2,743.41 = 675 : x
  2. Step 2: Convert to fraction form
    1,830.06/2,743.41 = 675/x
  3. Step 3: Cross multiply
    1,830.06x = 2,743.41 × 675
  4. Step 4: Simplify right side
    1,830.06x = 1,851,801.75
  5. Step 5: Solve for x
    x = 1,851,801.75/1,830.06
  6. Step 6: Final answer
    x = 1,011.88

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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.