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Finding the Fourth Proportional to 2,759.40, 3,806.82 and 1,826.28

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Solution

The fourth proportional to 2,759.40, 3,806.82 and 1,826.28 is: 2,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.40 : 3,806.82 = 1,826.28 : x
  2. Step 2: Convert to fraction form
    2,759.40/3,806.82 = 1,826.28/x
  3. Step 3: Cross multiply
    2,759.40x = 3,806.82 × 1,826.28
  4. Step 4: Simplify right side
    2,759.40x = 6,952,319.23
  5. Step 5: Solve for x
    x = 6,952,319.23/2,759.40
  6. Step 6: Final answer
    x = 2,519.50

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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.