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Finding the Fourth Proportional to 2,512.65, 3,766.40 and 1,817.61

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Solution

The fourth proportional to 2,512.65, 3,766.40 and 1,817.61 is: 2,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.65 : 3,766.40 = 1,817.61 : x
  2. Step 2: Convert to fraction form
    2,512.65/3,766.40 = 1,817.61/x
  3. Step 3: Cross multiply
    2,512.65x = 3,766.40 × 1,817.61
  4. Step 4: Simplify right side
    2,512.65x = 6,845,829.91
  5. Step 5: Solve for x
    x = 6,845,829.91/2,512.65
  6. Step 6: Final answer
    x = 2,724.54

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