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Finding the Fourth Proportional to 5,230.74, 7,218.52 and 2,873

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Solution

The fourth proportional to 5,230.74, 7,218.52 and 2,873 is: 3,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.74 : 7,218.52 = 2,873 : x
  2. Step 2: Convert to fraction form
    5,230.74/7,218.52 = 2,873/x
  3. Step 3: Cross multiply
    5,230.74x = 7,218.52 × 2,873
  4. Step 4: Simplify right side
    5,230.74x = 20,738,807.96
  5. Step 5: Solve for x
    x = 20,738,807.96/5,230.74
  6. Step 6: Final answer
    x = 3,964.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.