Home / 2,771.61-4,156.67-823.35

Finding the Fourth Proportional to 2,771.61, 4,156.67 and 823.35

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Solution

The fourth proportional to 2,771.61, 4,156.67 and 823.35 is: 1,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.61 : 4,156.67 = 823.35 : x
  2. Step 2: Convert to fraction form
    2,771.61/4,156.67 = 823.35/x
  3. Step 3: Cross multiply
    2,771.61x = 4,156.67 × 823.35
  4. Step 4: Simplify right side
    2,771.61x = 3,422,369.34
  5. Step 5: Solve for x
    x = 3,422,369.34/2,771.61
  6. Step 6: Final answer
    x = 1,234.80

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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.