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Finding the Fourth Proportional to 2,859.44, 4,289.76 and 911.79

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Solution

The fourth proportional to 2,859.44, 4,289.76 and 911.79 is: 1,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.44 : 4,289.76 = 911.79 : x
  2. Step 2: Convert to fraction form
    2,859.44/4,289.76 = 911.79/x
  3. Step 3: Cross multiply
    2,859.44x = 4,289.76 × 911.79
  4. Step 4: Simplify right side
    2,859.44x = 3,911,360.27
  5. Step 5: Solve for x
    x = 3,911,360.27/2,859.44
  6. Step 6: Final answer
    x = 1,367.88

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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.