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Finding the Fourth Proportional to 1,891.36, 2,834.56 and 967.15

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Solution

The fourth proportional to 1,891.36, 2,834.56 and 967.15 is: 1,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.36 : 2,834.56 = 967.15 : x
  2. Step 2: Convert to fraction form
    1,891.36/2,834.56 = 967.15/x
  3. Step 3: Cross multiply
    1,891.36x = 2,834.56 × 967.15
  4. Step 4: Simplify right side
    1,891.36x = 2,741,444.70
  5. Step 5: Solve for x
    x = 2,741,444.70/1,891.36
  6. Step 6: Final answer
    x = 1,449.46

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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.