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Finding the Fourth Proportional to 1,959.12, 2,703.28 and 1,173

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Solution

The fourth proportional to 1,959.12, 2,703.28 and 1,173 is: 1,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.12 : 2,703.28 = 1,173 : x
  2. Step 2: Convert to fraction form
    1,959.12/2,703.28 = 1,173/x
  3. Step 3: Cross multiply
    1,959.12x = 2,703.28 × 1,173
  4. Step 4: Simplify right side
    1,959.12x = 3,170,947.44
  5. Step 5: Solve for x
    x = 3,170,947.44/1,959.12
  6. Step 6: Final answer
    x = 1,618.56

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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.