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Finding the Fourth Proportional to 2,761.68, 4,122.31 and 2,433.63

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Solution

The fourth proportional to 2,761.68, 4,122.31 and 2,433.63 is: 3,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.68 : 4,122.31 = 2,433.63 : x
  2. Step 2: Convert to fraction form
    2,761.68/4,122.31 = 2,433.63/x
  3. Step 3: Cross multiply
    2,761.68x = 4,122.31 × 2,433.63
  4. Step 4: Simplify right side
    2,761.68x = 10,032,171.20
  5. Step 5: Solve for x
    x = 10,032,171.20/2,761.68
  6. Step 6: Final answer
    x = 3,632.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.