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Finding the Fourth Proportional to 2,859.56, 4,286.42 and 984.89

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Solution

The fourth proportional to 2,859.56, 4,286.42 and 984.89 is: 1,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.56 : 4,286.42 = 984.89 : x
  2. Step 2: Convert to fraction form
    2,859.56/4,286.42 = 984.89/x
  3. Step 3: Cross multiply
    2,859.56x = 4,286.42 × 984.89
  4. Step 4: Simplify right side
    2,859.56x = 4,221,652.19
  5. Step 5: Solve for x
    x = 4,221,652.19/2,859.56
  6. Step 6: Final answer
    x = 1,476.33

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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.