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Finding the Fourth Proportional to 7,985.68, 11,978.54 and 2,791.55

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Solution

The fourth proportional to 7,985.68, 11,978.54 and 2,791.55 is: 4,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.68 : 11,978.54 = 2,791.55 : x
  2. Step 2: Convert to fraction form
    7,985.68/11,978.54 = 2,791.55/x
  3. Step 3: Cross multiply
    7,985.68x = 11,978.54 × 2,791.55
  4. Step 4: Simplify right side
    7,985.68x = 33,438,693.34
  5. Step 5: Solve for x
    x = 33,438,693.34/7,985.68
  6. Step 6: Final answer
    x = 4,187.33

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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.