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Finding the Fourth Proportional to 3,014.10, 4,520.61 and 822.65

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Solution

The fourth proportional to 3,014.10, 4,520.61 and 822.65 is: 1,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.10 : 4,520.61 = 822.65 : x
  2. Step 2: Convert to fraction form
    3,014.10/4,520.61 = 822.65/x
  3. Step 3: Cross multiply
    3,014.10x = 4,520.61 × 822.65
  4. Step 4: Simplify right side
    3,014.10x = 3,718,857.21
  5. Step 5: Solve for x
    x = 3,718,857.21/3,014.10
  6. Step 6: Final answer
    x = 1,233.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.