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Finding the Fourth Proportional to 1,989.23, 2,979.22 and 1,743.19

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Solution

The fourth proportional to 1,989.23, 2,979.22 and 1,743.19 is: 2,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.23 : 2,979.22 = 1,743.19 : x
  2. Step 2: Convert to fraction form
    1,989.23/2,979.22 = 1,743.19/x
  3. Step 3: Cross multiply
    1,989.23x = 2,979.22 × 1,743.19
  4. Step 4: Simplify right side
    1,989.23x = 5,193,346.51
  5. Step 5: Solve for x
    x = 5,193,346.51/1,989.23
  6. Step 6: Final answer
    x = 2,610.73

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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.