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Finding the Fourth Proportional to 27,978.21, 38,609.73 and 16,042.59

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Solution

The fourth proportional to 27,978.21, 38,609.73 and 16,042.59 is: 22,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.21 : 38,609.73 = 16,042.59 : x
  2. Step 2: Convert to fraction form
    27,978.21/38,609.73 = 16,042.59/x
  3. Step 3: Cross multiply
    27,978.21x = 38,609.73 × 16,042.59
  4. Step 4: Simplify right side
    27,978.21x = 619,400,068.40
  5. Step 5: Solve for x
    x = 619,400,068.40/27,978.21
  6. Step 6: Final answer
    x = 22,138.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.