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Finding the Fourth Proportional to 2,771.84, 4,157.74 and 823.90

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Solution

The fourth proportional to 2,771.84, 4,157.74 and 823.90 is: 1,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.84 : 4,157.74 = 823.90 : x
  2. Step 2: Convert to fraction form
    2,771.84/4,157.74 = 823.90/x
  3. Step 3: Cross multiply
    2,771.84x = 4,157.74 × 823.90
  4. Step 4: Simplify right side
    2,771.84x = 3,425,561.99
  5. Step 5: Solve for x
    x = 3,425,561.99/2,771.84
  6. Step 6: Final answer
    x = 1,235.84

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1.5x scale

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.