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Finding the Fourth Proportional to 2,858.48, 4,288.20 and 911.28

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Solution

The fourth proportional to 2,858.48, 4,288.20 and 911.28 is: 1,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.48 : 4,288.20 = 911.28 : x
  2. Step 2: Convert to fraction form
    2,858.48/4,288.20 = 911.28/x
  3. Step 3: Cross multiply
    2,858.48x = 4,288.20 × 911.28
  4. Step 4: Simplify right side
    2,858.48x = 3,907,750.90
  5. Step 5: Solve for x
    x = 3,907,750.90/2,858.48
  6. Step 6: Final answer
    x = 1,367.07

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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.