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Finding the Fourth Proportional to 12,394, 18,578.70 and 6,849.96

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Solution

The fourth proportional to 12,394, 18,578.70 and 6,849.96 is: 10,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394 : 18,578.70 = 6,849.96 : x
  2. Step 2: Convert to fraction form
    12,394/18,578.70 = 6,849.96/x
  3. Step 3: Cross multiply
    12,394x = 18,578.70 × 6,849.96
  4. Step 4: Simplify right side
    12,394x = 127,263,351.85
  5. Step 5: Solve for x
    x = 127,263,351.85/12,394
  6. Step 6: Final answer
    x = 10,268.14

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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.