Home / 1,828.45-2,743.38-1,098.55

Finding the Fourth Proportional to 1,828.45, 2,743.38 and 1,098.55

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Solution

The fourth proportional to 1,828.45, 2,743.38 and 1,098.55 is: 1,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.45 : 2,743.38 = 1,098.55 : x
  2. Step 2: Convert to fraction form
    1,828.45/2,743.38 = 1,098.55/x
  3. Step 3: Cross multiply
    1,828.45x = 2,743.38 × 1,098.55
  4. Step 4: Simplify right side
    1,828.45x = 3,013,740.10
  5. Step 5: Solve for x
    x = 3,013,740.10/1,828.45
  6. Step 6: Final answer
    x = 1,648.25

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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.