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Finding the Fourth Proportional to 3,801.90, 5,247 and 3,505.44

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Solution

The fourth proportional to 3,801.90, 5,247 and 3,505.44 is: 4,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.90 : 5,247 = 3,505.44 : x
  2. Step 2: Convert to fraction form
    3,801.90/5,247 = 3,505.44/x
  3. Step 3: Cross multiply
    3,801.90x = 5,247 × 3,505.44
  4. Step 4: Simplify right side
    3,801.90x = 18,393,043.68
  5. Step 5: Solve for x
    x = 18,393,043.68/3,801.90
  6. Step 6: Final answer
    x = 4,837.86

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1.5x scale

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.