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Finding the Fourth Proportional to 2,671.95, 4,008.02 and 823.05

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Solution

The fourth proportional to 2,671.95, 4,008.02 and 823.05 is: 1,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.95 : 4,008.02 = 823.05 : x
  2. Step 2: Convert to fraction form
    2,671.95/4,008.02 = 823.05/x
  3. Step 3: Cross multiply
    2,671.95x = 4,008.02 × 823.05
  4. Step 4: Simplify right side
    2,671.95x = 3,298,796.75
  5. Step 5: Solve for x
    x = 3,298,796.75/2,671.95
  6. Step 6: Final answer
    x = 1,234.60

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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.