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Finding the Fourth Proportional to 2,723.86, 4,085.78 and 775.80

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Solution

The fourth proportional to 2,723.86, 4,085.78 and 775.80 is: 1,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.86 : 4,085.78 = 775.80 : x
  2. Step 2: Convert to fraction form
    2,723.86/4,085.78 = 775.80/x
  3. Step 3: Cross multiply
    2,723.86x = 4,085.78 × 775.80
  4. Step 4: Simplify right side
    2,723.86x = 3,169,748.12
  5. Step 5: Solve for x
    x = 3,169,748.12/2,723.86
  6. Step 6: Final answer
    x = 1,163.70

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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.