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Finding the Fourth Proportional to 27,985.86, 41,978.88 and 19,194.12

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Solution

The fourth proportional to 27,985.86, 41,978.88 and 19,194.12 is: 28,791.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.86 : 41,978.88 = 19,194.12 : x
  2. Step 2: Convert to fraction form
    27,985.86/41,978.88 = 19,194.12/x
  3. Step 3: Cross multiply
    27,985.86x = 41,978.88 × 19,194.12
  4. Step 4: Simplify right side
    27,985.86x = 805,747,660.19
  5. Step 5: Solve for x
    x = 805,747,660.19/27,985.86
  6. Step 6: Final answer
    x = 28,791.24

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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.