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Finding the Fourth Proportional to 2,859.36, 4,289.40 and 911.58

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Solution

The fourth proportional to 2,859.36, 4,289.40 and 911.58 is: 1,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.36 : 4,289.40 = 911.58 : x
  2. Step 2: Convert to fraction form
    2,859.36/4,289.40 = 911.58/x
  3. Step 3: Cross multiply
    2,859.36x = 4,289.40 × 911.58
  4. Step 4: Simplify right side
    2,859.36x = 3,910,131.25
  5. Step 5: Solve for x
    x = 3,910,131.25/2,859.36
  6. Step 6: Final answer
    x = 1,367.48

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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.