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Finding the Fourth Proportional to 14,039.79, 19,375.64 and 8,072.02

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Solution

The fourth proportional to 14,039.79, 19,375.64 and 8,072.02 is: 11,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,039.79 : 19,375.64 = 8,072.02 : x
  2. Step 2: Convert to fraction form
    14,039.79/19,375.64 = 8,072.02/x
  3. Step 3: Cross multiply
    14,039.79x = 19,375.64 × 8,072.02
  4. Step 4: Simplify right side
    14,039.79x = 156,400,553.59
  5. Step 5: Solve for x
    x = 156,400,553.59/14,039.79
  6. Step 6: Final answer
    x = 11,139.81

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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.