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Finding the Fourth Proportional to 3,786.84, 5,223.14 and 2,371.28

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Solution

The fourth proportional to 3,786.84, 5,223.14 and 2,371.28 is: 3,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.84 : 5,223.14 = 2,371.28 : x
  2. Step 2: Convert to fraction form
    3,786.84/5,223.14 = 2,371.28/x
  3. Step 3: Cross multiply
    3,786.84x = 5,223.14 × 2,371.28
  4. Step 4: Simplify right side
    3,786.84x = 12,385,527.42
  5. Step 5: Solve for x
    x = 12,385,527.42/3,786.84
  6. Step 6: Final answer
    x = 3,270.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.