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Finding the Fourth Proportional to 12,827, 17,701.26 and 6,939

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Solution

The fourth proportional to 12,827, 17,701.26 and 6,939 is: 9,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827 : 17,701.26 = 6,939 : x
  2. Step 2: Convert to fraction form
    12,827/17,701.26 = 6,939/x
  3. Step 3: Cross multiply
    12,827x = 17,701.26 × 6,939
  4. Step 4: Simplify right side
    12,827x = 122,829,043.14
  5. Step 5: Solve for x
    x = 122,829,043.14/12,827
  6. Step 6: Final answer
    x = 9,575.82

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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.