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Finding the Fourth Proportional to 2,773.71, 3,828.06 and 1,778.62

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Solution

The fourth proportional to 2,773.71, 3,828.06 and 1,778.62 is: 2,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.71 : 3,828.06 = 1,778.62 : x
  2. Step 2: Convert to fraction form
    2,773.71/3,828.06 = 1,778.62/x
  3. Step 3: Cross multiply
    2,773.71x = 3,828.06 × 1,778.62
  4. Step 4: Simplify right side
    2,773.71x = 6,808,664.08
  5. Step 5: Solve for x
    x = 6,808,664.08/2,773.71
  6. Step 6: Final answer
    x = 2,454.71

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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.