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Finding the Fourth Proportional to 5,090.22, 7,634.82 and 1,803.12

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Solution

The fourth proportional to 5,090.22, 7,634.82 and 1,803.12 is: 2,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.22 : 7,634.82 = 1,803.12 : x
  2. Step 2: Convert to fraction form
    5,090.22/7,634.82 = 1,803.12/x
  3. Step 3: Cross multiply
    5,090.22x = 7,634.82 × 1,803.12
  4. Step 4: Simplify right side
    5,090.22x = 13,766,496.64
  5. Step 5: Solve for x
    x = 13,766,496.64/5,090.22
  6. Step 6: Final answer
    x = 2,704.50

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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.