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Finding the Fourth Proportional to 2,338.56, 3,228.48 and 1,872

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Solution

The fourth proportional to 2,338.56, 3,228.48 and 1,872 is: 2,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.56 : 3,228.48 = 1,872 : x
  2. Step 2: Convert to fraction form
    2,338.56/3,228.48 = 1,872/x
  3. Step 3: Cross multiply
    2,338.56x = 3,228.48 × 1,872
  4. Step 4: Simplify right side
    2,338.56x = 6,043,714.56
  5. Step 5: Solve for x
    x = 6,043,714.56/2,338.56
  6. Step 6: Final answer
    x = 2,584.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.