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Finding the Fourth Proportional to 2,310.76, 3,464.52 and 849.72

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Solution

The fourth proportional to 2,310.76, 3,464.52 and 849.72 is: 1,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.76 : 3,464.52 = 849.72 : x
  2. Step 2: Convert to fraction form
    2,310.76/3,464.52 = 849.72/x
  3. Step 3: Cross multiply
    2,310.76x = 3,464.52 × 849.72
  4. Step 4: Simplify right side
    2,310.76x = 2,943,871.93
  5. Step 5: Solve for x
    x = 2,943,871.93/2,310.76
  6. Step 6: Final answer
    x = 1,273.98

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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.