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Finding the Fourth Proportional to 2,298.09, 3,448.27 and 911.39

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Solution

The fourth proportional to 2,298.09, 3,448.27 and 911.39 is: 1,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.09 : 3,448.27 = 911.39 : x
  2. Step 2: Convert to fraction form
    2,298.09/3,448.27 = 911.39/x
  3. Step 3: Cross multiply
    2,298.09x = 3,448.27 × 911.39
  4. Step 4: Simplify right side
    2,298.09x = 3,142,714.24
  5. Step 5: Solve for x
    x = 3,142,714.24/2,298.09
  6. Step 6: Final answer
    x = 1,367.54

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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.