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Finding the Fourth Proportional to 3,806.84, 5,253.36 and 2,128.20

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Solution

The fourth proportional to 3,806.84, 5,253.36 and 2,128.20 is: 2,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.84 : 5,253.36 = 2,128.20 : x
  2. Step 2: Convert to fraction form
    3,806.84/5,253.36 = 2,128.20/x
  3. Step 3: Cross multiply
    3,806.84x = 5,253.36 × 2,128.20
  4. Step 4: Simplify right side
    3,806.84x = 11,180,200.75
  5. Step 5: Solve for x
    x = 11,180,200.75/3,806.84
  6. Step 6: Final answer
    x = 2,936.87

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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.