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Finding the Fourth Proportional to 2,759.52, 3,808.19 and 2,162.75

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Solution

The fourth proportional to 2,759.52, 3,808.19 and 2,162.75 is: 2,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.52 : 3,808.19 = 2,162.75 : x
  2. Step 2: Convert to fraction form
    2,759.52/3,808.19 = 2,162.75/x
  3. Step 3: Cross multiply
    2,759.52x = 3,808.19 × 2,162.75
  4. Step 4: Simplify right side
    2,759.52x = 8,236,164.63
  5. Step 5: Solve for x
    x = 8,236,164.63/2,759.52
  6. Step 6: Final answer
    x = 2,984.64

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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.