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Finding the Fourth Proportional to 3,759.99, 5,642.42 and 2,119.74

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Solution

The fourth proportional to 3,759.99, 5,642.42 and 2,119.74 is: 3,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.99 : 5,642.42 = 2,119.74 : x
  2. Step 2: Convert to fraction form
    3,759.99/5,642.42 = 2,119.74/x
  3. Step 3: Cross multiply
    3,759.99x = 5,642.42 × 2,119.74
  4. Step 4: Simplify right side
    3,759.99x = 11,960,452.77
  5. Step 5: Solve for x
    x = 11,960,452.77/3,759.99
  6. Step 6: Final answer
    x = 3,180.98

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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.