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Finding the Fourth Proportional to 2,771.34, 4,157.70 and 823.49

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Solution

The fourth proportional to 2,771.34, 4,157.70 and 823.49 is: 1,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.34 : 4,157.70 = 823.49 : x
  2. Step 2: Convert to fraction form
    2,771.34/4,157.70 = 823.49/x
  3. Step 3: Cross multiply
    2,771.34x = 4,157.70 × 823.49
  4. Step 4: Simplify right side
    2,771.34x = 3,423,824.37
  5. Step 5: Solve for x
    x = 3,423,824.37/2,771.34
  6. Step 6: Final answer
    x = 1,235.44

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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.