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Finding the Fourth Proportional to 12,927, 19,390.68 and 3,693

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Solution

The fourth proportional to 12,927, 19,390.68 and 3,693 is: 5,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927 : 19,390.68 = 3,693 : x
  2. Step 2: Convert to fraction form
    12,927/19,390.68 = 3,693/x
  3. Step 3: Cross multiply
    12,927x = 19,390.68 × 3,693
  4. Step 4: Simplify right side
    12,927x = 71,609,781.24
  5. Step 5: Solve for x
    x = 71,609,781.24/12,927
  6. Step 6: Final answer
    x = 5,539.55

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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.