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Finding the Fourth Proportional to 12,819, 17,690.22 and 6,931

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Solution

The fourth proportional to 12,819, 17,690.22 and 6,931 is: 9,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819 : 17,690.22 = 6,931 : x
  2. Step 2: Convert to fraction form
    12,819/17,690.22 = 6,931/x
  3. Step 3: Cross multiply
    12,819x = 17,690.22 × 6,931
  4. Step 4: Simplify right side
    12,819x = 122,610,914.82
  5. Step 5: Solve for x
    x = 122,610,914.82/12,819
  6. Step 6: Final answer
    x = 9,564.78

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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.