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Finding the Fourth Proportional to 3,978.78, 5,968.17 and 1,785.30

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Solution

The fourth proportional to 3,978.78, 5,968.17 and 1,785.30 is: 2,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.78 : 5,968.17 = 1,785.30 : x
  2. Step 2: Convert to fraction form
    3,978.78/5,968.17 = 1,785.30/x
  3. Step 3: Cross multiply
    3,978.78x = 5,968.17 × 1,785.30
  4. Step 4: Simplify right side
    3,978.78x = 10,654,973.90
  5. Step 5: Solve for x
    x = 10,654,973.90/3,978.78
  6. Step 6: Final answer
    x = 2,677.95

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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.