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Finding the Fourth Proportional to 2,189, 3,023.28 and 1,489.16

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Solution

The fourth proportional to 2,189, 3,023.28 and 1,489.16 is: 2,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189 : 3,023.28 = 1,489.16 : x
  2. Step 2: Convert to fraction form
    2,189/3,023.28 = 1,489.16/x
  3. Step 3: Cross multiply
    2,189x = 3,023.28 × 1,489.16
  4. Step 4: Simplify right side
    2,189x = 4,502,147.64
  5. Step 5: Solve for x
    x = 4,502,147.64/2,189
  6. Step 6: Final answer
    x = 2,056.71

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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.