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Finding the Fourth Proportional to 3,782.84, 5,674.19 and 1,150.34

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Solution

The fourth proportional to 3,782.84, 5,674.19 and 1,150.34 is: 1,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.84 : 5,674.19 = 1,150.34 : x
  2. Step 2: Convert to fraction form
    3,782.84/5,674.19 = 1,150.34/x
  3. Step 3: Cross multiply
    3,782.84x = 5,674.19 × 1,150.34
  4. Step 4: Simplify right side
    3,782.84x = 6,527,213.60
  5. Step 5: Solve for x
    x = 6,527,213.60/3,782.84
  6. Step 6: Final answer
    x = 1,725.48

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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.