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Finding the Fourth Proportional to 2,310.78, 3,466.51 and 849.82

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Solution

The fourth proportional to 2,310.78, 3,466.51 and 849.82 is: 1,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.78 : 3,466.51 = 849.82 : x
  2. Step 2: Convert to fraction form
    2,310.78/3,466.51 = 849.82/x
  3. Step 3: Cross multiply
    2,310.78x = 3,466.51 × 849.82
  4. Step 4: Simplify right side
    2,310.78x = 2,945,900.27
  5. Step 5: Solve for x
    x = 2,945,900.27/2,310.78
  6. Step 6: Final answer
    x = 1,274.85

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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.