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Finding the Fourth Proportional to 1,891.22, 2,836.86 and 964.16

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Solution

The fourth proportional to 1,891.22, 2,836.86 and 964.16 is: 1,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.22 : 2,836.86 = 964.16 : x
  2. Step 2: Convert to fraction form
    1,891.22/2,836.86 = 964.16/x
  3. Step 3: Cross multiply
    1,891.22x = 2,836.86 × 964.16
  4. Step 4: Simplify right side
    1,891.22x = 2,735,186.94
  5. Step 5: Solve for x
    x = 2,735,186.94/1,891.22
  6. Step 6: Final answer
    x = 1,446.26

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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.