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Finding the Fourth Proportional to 2,836.16, 3,915.84 and 2,171.84

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Solution

The fourth proportional to 2,836.16, 3,915.84 and 2,171.84 is: 2,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.16 : 3,915.84 = 2,171.84 : x
  2. Step 2: Convert to fraction form
    2,836.16/3,915.84 = 2,171.84/x
  3. Step 3: Cross multiply
    2,836.16x = 3,915.84 × 2,171.84
  4. Step 4: Simplify right side
    2,836.16x = 8,504,577.95
  5. Step 5: Solve for x
    x = 8,504,577.95/2,836.16
  6. Step 6: Final answer
    x = 2,998.62

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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.