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Finding the Fourth Proportional to 2,770.87, 4,156.99 and 823.07

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Solution

The fourth proportional to 2,770.87, 4,156.99 and 823.07 is: 1,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.87 : 4,156.99 = 823.07 : x
  2. Step 2: Convert to fraction form
    2,770.87/4,156.99 = 823.07/x
  3. Step 3: Cross multiply
    2,770.87x = 4,156.99 × 823.07
  4. Step 4: Simplify right side
    2,770.87x = 3,421,493.76
  5. Step 5: Solve for x
    x = 3,421,493.76/2,770.87
  6. Step 6: Final answer
    x = 1,234.81

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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.