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Finding the Fourth Proportional to 14,042.76, 19,382.33 and 8,077.88

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Solution

The fourth proportional to 14,042.76, 19,382.33 and 8,077.88 is: 11,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.76 : 19,382.33 = 8,077.88 : x
  2. Step 2: Convert to fraction form
    14,042.76/19,382.33 = 8,077.88/x
  3. Step 3: Cross multiply
    14,042.76x = 19,382.33 × 8,077.88
  4. Step 4: Simplify right side
    14,042.76x = 156,567,998.56
  5. Step 5: Solve for x
    x = 156,567,998.56/14,042.76
  6. Step 6: Final answer
    x = 11,149.38

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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.