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Finding the Fourth Proportional to 1,958.73, 2,703.90 and 1,172.63

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Solution

The fourth proportional to 1,958.73, 2,703.90 and 1,172.63 is: 1,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.73 : 2,703.90 = 1,172.63 : x
  2. Step 2: Convert to fraction form
    1,958.73/2,703.90 = 1,172.63/x
  3. Step 3: Cross multiply
    1,958.73x = 2,703.90 × 1,172.63
  4. Step 4: Simplify right side
    1,958.73x = 3,170,668.39
  5. Step 5: Solve for x
    x = 3,170,668.39/1,958.73
  6. Step 6: Final answer
    x = 1,618.74

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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.