Home / 3,830.50-5,742.83-1,980.44

Finding the Fourth Proportional to 3,830.50, 5,742.83 and 1,980.44

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Solution

The fourth proportional to 3,830.50, 5,742.83 and 1,980.44 is: 2,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.50 : 5,742.83 = 1,980.44 : x
  2. Step 2: Convert to fraction form
    3,830.50/5,742.83 = 1,980.44/x
  3. Step 3: Cross multiply
    3,830.50x = 5,742.83 × 1,980.44
  4. Step 4: Simplify right side
    3,830.50x = 11,373,328.02
  5. Step 5: Solve for x
    x = 11,373,328.02/3,830.50
  6. Step 6: Final answer
    x = 2,969.15

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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.