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Finding the Fourth Proportional to 2,189.43, 3,283.05 and 728.07

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Solution

The fourth proportional to 2,189.43, 3,283.05 and 728.07 is: 1,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.43 : 3,283.05 = 728.07 : x
  2. Step 2: Convert to fraction form
    2,189.43/3,283.05 = 728.07/x
  3. Step 3: Cross multiply
    2,189.43x = 3,283.05 × 728.07
  4. Step 4: Simplify right side
    2,189.43x = 2,390,290.21
  5. Step 5: Solve for x
    x = 2,390,290.21/2,189.43
  6. Step 6: Final answer
    x = 1,091.74

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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.