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Finding the Fourth Proportional to 3,978.95, 5,968.40 and 1,787.09

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Solution

The fourth proportional to 3,978.95, 5,968.40 and 1,787.09 is: 2,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.95 : 5,968.40 = 1,787.09 : x
  2. Step 2: Convert to fraction form
    3,978.95/5,968.40 = 1,787.09/x
  3. Step 3: Cross multiply
    3,978.95x = 5,968.40 × 1,787.09
  4. Step 4: Simplify right side
    3,978.95x = 10,666,029.18
  5. Step 5: Solve for x
    x = 10,666,029.18/3,978.95
  6. Step 6: Final answer
    x = 2,680.62

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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.