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Finding the Fourth Proportional to 1,959.75, 2,939.63 and 805.50

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Solution

The fourth proportional to 1,959.75, 2,939.63 and 805.50 is: 1,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.75 : 2,939.63 = 805.50 : x
  2. Step 2: Convert to fraction form
    1,959.75/2,939.63 = 805.50/x
  3. Step 3: Cross multiply
    1,959.75x = 2,939.63 × 805.50
  4. Step 4: Simplify right side
    1,959.75x = 2,367,867.94
  5. Step 5: Solve for x
    x = 2,367,867.94/1,959.75
  6. Step 6: Final answer
    x = 1,208.25

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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.