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Finding the Fourth Proportional to 7,985.43, 11,978.16 and 2,791.30

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Solution

The fourth proportional to 7,985.43, 11,978.16 and 2,791.30 is: 4,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.43 : 11,978.16 = 2,791.30 : x
  2. Step 2: Convert to fraction form
    7,985.43/11,978.16 = 2,791.30/x
  3. Step 3: Cross multiply
    7,985.43x = 11,978.16 × 2,791.30
  4. Step 4: Simplify right side
    7,985.43x = 33,434,638.01
  5. Step 5: Solve for x
    x = 33,434,638.01/7,985.43
  6. Step 6: Final answer
    x = 4,186.96

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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.