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Finding the Fourth Proportional to 14,243.63, 19,656.20 and 7,956

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Solution

The fourth proportional to 14,243.63, 19,656.20 and 7,956 is: 10,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.63 : 19,656.20 = 7,956 : x
  2. Step 2: Convert to fraction form
    14,243.63/19,656.20 = 7,956/x
  3. Step 3: Cross multiply
    14,243.63x = 19,656.20 × 7,956
  4. Step 4: Simplify right side
    14,243.63x = 156,384,747.09
  5. Step 5: Solve for x
    x = 156,384,747.09/14,243.63
  6. Step 6: Final answer
    x = 10,979.28

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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.