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Finding the Fourth Proportional to 2,764.65, 3,817.81 and 1,771.66

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Solution

The fourth proportional to 2,764.65, 3,817.81 and 1,771.66 is: 2,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.65 : 3,817.81 = 1,771.66 : x
  2. Step 2: Convert to fraction form
    2,764.65/3,817.81 = 1,771.66/x
  3. Step 3: Cross multiply
    2,764.65x = 3,817.81 × 1,771.66
  4. Step 4: Simplify right side
    2,764.65x = 6,763,869.76
  5. Step 5: Solve for x
    x = 6,763,869.76/2,764.65
  6. Step 6: Final answer
    x = 2,446.55

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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.