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Finding the Fourth Proportional to 2,189.81, 3,283.51 and 728.17

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Solution

The fourth proportional to 2,189.81, 3,283.51 and 728.17 is: 1,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.81 : 3,283.51 = 728.17 : x
  2. Step 2: Convert to fraction form
    2,189.81/3,283.51 = 728.17/x
  3. Step 3: Cross multiply
    2,189.81x = 3,283.51 × 728.17
  4. Step 4: Simplify right side
    2,189.81x = 2,390,933.42
  5. Step 5: Solve for x
    x = 2,390,933.42/2,189.81
  6. Step 6: Final answer
    x = 1,091.85

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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.