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Finding the Fourth Proportional to 14,137, 19,511.45 and 8,172.11

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Solution

The fourth proportional to 14,137, 19,511.45 and 8,172.11 is: 11,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137 : 19,511.45 = 8,172.11 : x
  2. Step 2: Convert to fraction form
    14,137/19,511.45 = 8,172.11/x
  3. Step 3: Cross multiply
    14,137x = 19,511.45 × 8,172.11
  4. Step 4: Simplify right side
    14,137x = 159,449,715.66
  5. Step 5: Solve for x
    x = 159,449,715.66/14,137
  6. Step 6: Final answer
    x = 11,278.89

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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.