Home / 1,828.46-2,743.78-675.02

Finding the Fourth Proportional to 1,828.46, 2,743.78 and 675.02

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Solution

The fourth proportional to 1,828.46, 2,743.78 and 675.02 is: 1,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.46 : 2,743.78 = 675.02 : x
  2. Step 2: Convert to fraction form
    1,828.46/2,743.78 = 675.02/x
  3. Step 3: Cross multiply
    1,828.46x = 2,743.78 × 675.02
  4. Step 4: Simplify right side
    1,828.46x = 1,852,106.38
  5. Step 5: Solve for x
    x = 1,852,106.38/1,828.46
  6. Step 6: Final answer
    x = 1,012.93

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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.