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Finding the Fourth Proportional to 1,928.38, 2,891.97 and 695.63

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Solution

The fourth proportional to 1,928.38, 2,891.97 and 695.63 is: 1,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.38 : 2,891.97 = 695.63 : x
  2. Step 2: Convert to fraction form
    1,928.38/2,891.97 = 695.63/x
  3. Step 3: Cross multiply
    1,928.38x = 2,891.97 × 695.63
  4. Step 4: Simplify right side
    1,928.38x = 2,011,725.05
  5. Step 5: Solve for x
    x = 2,011,725.05/1,928.38
  6. Step 6: Final answer
    x = 1,043.22

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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.