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Finding the Fourth Proportional to 3,856.40, 5,784.60 and 1,912.40

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Solution

The fourth proportional to 3,856.40, 5,784.60 and 1,912.40 is: 2,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.40 : 5,784.60 = 1,912.40 : x
  2. Step 2: Convert to fraction form
    3,856.40/5,784.60 = 1,912.40/x
  3. Step 3: Cross multiply
    3,856.40x = 5,784.60 × 1,912.40
  4. Step 4: Simplify right side
    3,856.40x = 11,062,469.04
  5. Step 5: Solve for x
    x = 11,062,469.04/3,856.40
  6. Step 6: Final answer
    x = 2,868.60

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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.