Home / 2,467.21-3,700.85-823.76

Finding the Fourth Proportional to 2,467.21, 3,700.85 and 823.76

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Solution

The fourth proportional to 2,467.21, 3,700.85 and 823.76 is: 1,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.21 : 3,700.85 = 823.76 : x
  2. Step 2: Convert to fraction form
    2,467.21/3,700.85 = 823.76/x
  3. Step 3: Cross multiply
    2,467.21x = 3,700.85 × 823.76
  4. Step 4: Simplify right side
    2,467.21x = 3,048,612.20
  5. Step 5: Solve for x
    x = 3,048,612.20/2,467.21
  6. Step 6: Final answer
    x = 1,235.65

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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.