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Finding the Fourth Proportional to 12,815, 17,684.70 and 6,927

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Solution

The fourth proportional to 12,815, 17,684.70 and 6,927 is: 9,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815 : 17,684.70 = 6,927 : x
  2. Step 2: Convert to fraction form
    12,815/17,684.70 = 6,927/x
  3. Step 3: Cross multiply
    12,815x = 17,684.70 × 6,927
  4. Step 4: Simplify right side
    12,815x = 122,501,916.90
  5. Step 5: Solve for x
    x = 122,501,916.90/12,815
  6. Step 6: Final answer
    x = 9,559.26

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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.