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Finding the Fourth Proportional to 2,348, 3,243.41 and 2,181.95

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Solution

The fourth proportional to 2,348, 3,243.41 and 2,181.95 is: 3,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348 : 3,243.41 = 2,181.95 : x
  2. Step 2: Convert to fraction form
    2,348/3,243.41 = 2,181.95/x
  3. Step 3: Cross multiply
    2,348x = 3,243.41 × 2,181.95
  4. Step 4: Simplify right side
    2,348x = 7,076,958.45
  5. Step 5: Solve for x
    x = 7,076,958.45/2,348
  6. Step 6: Final answer
    x = 3,014.04

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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.