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Finding the Fourth Proportional to 4,811.67, 7,218.26 and 1,850.00

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Solution

The fourth proportional to 4,811.67, 7,218.26 and 1,850.00 is: 2,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.67 : 7,218.26 = 1,850.00 : x
  2. Step 2: Convert to fraction form
    4,811.67/7,218.26 = 1,850.00/x
  3. Step 3: Cross multiply
    4,811.67x = 7,218.26 × 1,850.00
  4. Step 4: Simplify right side
    4,811.67x = 13,353,749.53
  5. Step 5: Solve for x
    x = 13,353,749.53/4,811.67
  6. Step 6: Final answer
    x = 2,775.28

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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.