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Finding the Fourth Proportional to 17,955, 26,930.64 and 8,091.48

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Solution

The fourth proportional to 17,955, 26,930.64 and 8,091.48 is: 12,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,955 : 26,930.64 = 8,091.48 : x
  2. Step 2: Convert to fraction form
    17,955/26,930.64 = 8,091.48/x
  3. Step 3: Cross multiply
    17,955x = 26,930.64 × 8,091.48
  4. Step 4: Simplify right side
    17,955x = 217,908,734.95
  5. Step 5: Solve for x
    x = 217,908,734.95/17,955
  6. Step 6: Final answer
    x = 12,136.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.