Home / 1,829.35-2,743.68-495.13

Finding the Fourth Proportional to 1,829.35, 2,743.68 and 495.13

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Solution

The fourth proportional to 1,829.35, 2,743.68 and 495.13 is: 742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.35 : 2,743.68 = 495.13 : x
  2. Step 2: Convert to fraction form
    1,829.35/2,743.68 = 495.13/x
  3. Step 3: Cross multiply
    1,829.35x = 2,743.68 × 495.13
  4. Step 4: Simplify right side
    1,829.35x = 1,358,478.28
  5. Step 5: Solve for x
    x = 1,358,478.28/1,829.35
  6. Step 6: Final answer
    x = 742.60

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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.