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Finding the Fourth Proportional to 4,119.80, 5,782.30 and 4,119.80

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Solution

The fourth proportional to 4,119.80, 5,782.30 and 4,119.80 is: 5,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.80 : 5,782.30 = 4,119.80 : x
  2. Step 2: Convert to fraction form
    4,119.80/5,782.30 = 4,119.80/x
  3. Step 3: Cross multiply
    4,119.80x = 5,782.30 × 4,119.80
  4. Step 4: Simplify right side
    4,119.80x = 23,821,919.54
  5. Step 5: Solve for x
    x = 23,821,919.54/4,119.80
  6. Step 6: Final answer
    x = 5,782.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.