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Finding the Fourth Proportional to 12,636, 18,954 and 3,870.86

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Solution

The fourth proportional to 12,636, 18,954 and 3,870.86 is: 5,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636 : 18,954 = 3,870.86 : x
  2. Step 2: Convert to fraction form
    12,636/18,954 = 3,870.86/x
  3. Step 3: Cross multiply
    12,636x = 18,954 × 3,870.86
  4. Step 4: Simplify right side
    12,636x = 73,368,185.67
  5. Step 5: Solve for x
    x = 73,368,185.67/12,636
  6. Step 6: Final answer
    x = 5,806.28

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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.