Home / 3,827.83-5,743.38-1,980.25

Finding the Fourth Proportional to 3,827.83, 5,743.38 and 1,980.25

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Solution

The fourth proportional to 3,827.83, 5,743.38 and 1,980.25 is: 2,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.83 : 5,743.38 = 1,980.25 : x
  2. Step 2: Convert to fraction form
    3,827.83/5,743.38 = 1,980.25/x
  3. Step 3: Cross multiply
    3,827.83x = 5,743.38 × 1,980.25
  4. Step 4: Simplify right side
    3,827.83x = 11,373,315.74
  5. Step 5: Solve for x
    x = 11,373,315.74/3,827.83
  6. Step 6: Final answer
    x = 2,971.22

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1.5x scale

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.