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Finding the Fourth Proportional to 2,805.39, 3,867.84 and 1,919.67

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Solution

The fourth proportional to 2,805.39, 3,867.84 and 1,919.67 is: 2,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.39 : 3,867.84 = 1,919.67 : x
  2. Step 2: Convert to fraction form
    2,805.39/3,867.84 = 1,919.67/x
  3. Step 3: Cross multiply
    2,805.39x = 3,867.84 × 1,919.67
  4. Step 4: Simplify right side
    2,805.39x = 7,424,976.41
  5. Step 5: Solve for x
    x = 7,424,976.41/2,805.39
  6. Step 6: Final answer
    x = 2,646.68

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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.