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Finding the Fourth Proportional to 2,773.59, 3,827.09 and 1,778.67

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Solution

The fourth proportional to 2,773.59, 3,827.09 and 1,778.67 is: 2,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.59 : 3,827.09 = 1,778.67 : x
  2. Step 2: Convert to fraction form
    2,773.59/3,827.09 = 1,778.67/x
  3. Step 3: Cross multiply
    2,773.59x = 3,827.09 × 1,778.67
  4. Step 4: Simplify right side
    2,773.59x = 6,807,121.28
  5. Step 5: Solve for x
    x = 6,807,121.28/2,773.59
  6. Step 6: Final answer
    x = 2,454.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.