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Finding the Fourth Proportional to 1,972.33, 2,958.63 and 673.63

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Solution

The fourth proportional to 1,972.33, 2,958.63 and 673.63 is: 1,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.33 : 2,958.63 = 673.63 : x
  2. Step 2: Convert to fraction form
    1,972.33/2,958.63 = 673.63/x
  3. Step 3: Cross multiply
    1,972.33x = 2,958.63 × 673.63
  4. Step 4: Simplify right side
    1,972.33x = 1,993,021.93
  5. Step 5: Solve for x
    x = 1,993,021.93/1,972.33
  6. Step 6: Final answer
    x = 1,010.49

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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.