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Finding the Fourth Proportional to 1,900.37, 2,850.69 and 804.84

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Solution

The fourth proportional to 1,900.37, 2,850.69 and 804.84 is: 1,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.37 : 2,850.69 = 804.84 : x
  2. Step 2: Convert to fraction form
    1,900.37/2,850.69 = 804.84/x
  3. Step 3: Cross multiply
    1,900.37x = 2,850.69 × 804.84
  4. Step 4: Simplify right side
    1,900.37x = 2,294,349.34
  5. Step 5: Solve for x
    x = 2,294,349.34/1,900.37
  6. Step 6: Final answer
    x = 1,207.32

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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.