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Finding the Fourth Proportional to 3,859.84, 5,786.16 and 2,300.24

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Solution

The fourth proportional to 3,859.84, 5,786.16 and 2,300.24 is: 3,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.84 : 5,786.16 = 2,300.24 : x
  2. Step 2: Convert to fraction form
    3,859.84/5,786.16 = 2,300.24/x
  3. Step 3: Cross multiply
    3,859.84x = 5,786.16 × 2,300.24
  4. Step 4: Simplify right side
    3,859.84x = 13,309,556.68
  5. Step 5: Solve for x
    x = 13,309,556.68/3,859.84
  6. Step 6: Final answer
    x = 3,448.21

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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.