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Finding the Fourth Proportional to 1,766.73, 2,646.86 and 827.95

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Solution

The fourth proportional to 1,766.73, 2,646.86 and 827.95 is: 1,240.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.73 : 2,646.86 = 827.95 : x
  2. Step 2: Convert to fraction form
    1,766.73/2,646.86 = 827.95/x
  3. Step 3: Cross multiply
    1,766.73x = 2,646.86 × 827.95
  4. Step 4: Simplify right side
    1,766.73x = 2,191,463.19
  5. Step 5: Solve for x
    x = 2,191,463.19/1,766.73
  6. Step 6: Final answer
    x = 1,240.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.