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Finding the Fourth Proportional to 1,766.85, 2,438.09 and 1,020.71

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Solution

The fourth proportional to 1,766.85, 2,438.09 and 1,020.71 is: 1,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.85 : 2,438.09 = 1,020.71 : x
  2. Step 2: Convert to fraction form
    1,766.85/2,438.09 = 1,020.71/x
  3. Step 3: Cross multiply
    1,766.85x = 2,438.09 × 1,020.71
  4. Step 4: Simplify right side
    1,766.85x = 2,488,571.08
  5. Step 5: Solve for x
    x = 2,488,571.08/1,766.85
  6. Step 6: Final answer
    x = 1,408.48

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