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Finding the Fourth Proportional to 7,107.78, 10,662.16 and 3,985.44

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Solution

The fourth proportional to 7,107.78, 10,662.16 and 3,985.44 is: 5,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.78 : 10,662.16 = 3,985.44 : x
  2. Step 2: Convert to fraction form
    7,107.78/10,662.16 = 3,985.44/x
  3. Step 3: Cross multiply
    7,107.78x = 10,662.16 × 3,985.44
  4. Step 4: Simplify right side
    7,107.78x = 42,493,398.95
  5. Step 5: Solve for x
    x = 42,493,398.95/7,107.78
  6. Step 6: Final answer
    x = 5,978.43

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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.