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Finding the Fourth Proportional to 14,251, 19,666.38 and 7,963.96

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Solution

The fourth proportional to 14,251, 19,666.38 and 7,963.96 is: 10,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251 : 19,666.38 = 7,963.96 : x
  2. Step 2: Convert to fraction form
    14,251/19,666.38 = 7,963.96/x
  3. Step 3: Cross multiply
    14,251x = 19,666.38 × 7,963.96
  4. Step 4: Simplify right side
    14,251x = 156,622,263.66
  5. Step 5: Solve for x
    x = 156,622,263.66/14,251
  6. Step 6: Final answer
    x = 10,990.26

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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.