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Finding the Fourth Proportional to 2,730.89, 4,096.94 and 782.94

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Solution

The fourth proportional to 2,730.89, 4,096.94 and 782.94 is: 1,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.89 : 4,096.94 = 782.94 : x
  2. Step 2: Convert to fraction form
    2,730.89/4,096.94 = 782.94/x
  3. Step 3: Cross multiply
    2,730.89x = 4,096.94 × 782.94
  4. Step 4: Simplify right side
    2,730.89x = 3,207,654.29
  5. Step 5: Solve for x
    x = 3,207,654.29/2,730.89
  6. Step 6: Final answer
    x = 1,174.58

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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.