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Finding the Fourth Proportional to 2,772, 4,157.30 and 823.76

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Solution

The fourth proportional to 2,772, 4,157.30 and 823.76 is: 1,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772 : 4,157.30 = 823.76 : x
  2. Step 2: Convert to fraction form
    2,772/4,157.30 = 823.76/x
  3. Step 3: Cross multiply
    2,772x = 4,157.30 × 823.76
  4. Step 4: Simplify right side
    2,772x = 3,424,617.45
  5. Step 5: Solve for x
    x = 3,424,617.45/2,772
  6. Step 6: Final answer
    x = 1,235.43

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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.