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Finding the Fourth Proportional to 2,842.54, 4,263.22 and 1,787.87

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Solution

The fourth proportional to 2,842.54, 4,263.22 and 1,787.87 is: 2,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.54 : 4,263.22 = 1,787.87 : x
  2. Step 2: Convert to fraction form
    2,842.54/4,263.22 = 1,787.87/x
  3. Step 3: Cross multiply
    2,842.54x = 4,263.22 × 1,787.87
  4. Step 4: Simplify right side
    2,842.54x = 7,622,083.14
  5. Step 5: Solve for x
    x = 7,622,083.14/2,842.54
  6. Step 6: Final answer
    x = 2,681.43

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Why These Related Problems?

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