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Finding the Fourth Proportional to 12,826, 17,699.88 and 6,938

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Solution

The fourth proportional to 12,826, 17,699.88 and 6,938 is: 9,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826 : 17,699.88 = 6,938 : x
  2. Step 2: Convert to fraction form
    12,826/17,699.88 = 6,938/x
  3. Step 3: Cross multiply
    12,826x = 17,699.88 × 6,938
  4. Step 4: Simplify right side
    12,826x = 122,801,767.44
  5. Step 5: Solve for x
    x = 122,801,767.44/12,826
  6. Step 6: Final answer
    x = 9,574.44

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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.