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Finding the Fourth Proportional to 2,768.58, 3,817.71 and 1,773.90

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Solution

The fourth proportional to 2,768.58, 3,817.71 and 1,773.90 is: 2,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.58 : 3,817.71 = 1,773.90 : x
  2. Step 2: Convert to fraction form
    2,768.58/3,817.71 = 1,773.90/x
  3. Step 3: Cross multiply
    2,768.58x = 3,817.71 × 1,773.90
  4. Step 4: Simplify right side
    2,768.58x = 6,772,235.77
  5. Step 5: Solve for x
    x = 6,772,235.77/2,768.58
  6. Step 6: Final answer
    x = 2,446.10

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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.