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Finding the Fourth Proportional to 12,615, 18,922.14 and 3,848.64

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Solution

The fourth proportional to 12,615, 18,922.14 and 3,848.64 is: 5,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615 : 18,922.14 = 3,848.64 : x
  2. Step 2: Convert to fraction form
    12,615/18,922.14 = 3,848.64/x
  3. Step 3: Cross multiply
    12,615x = 18,922.14 × 3,848.64
  4. Step 4: Simplify right side
    12,615x = 72,824,504.89
  5. Step 5: Solve for x
    x = 72,824,504.89/12,615
  6. Step 6: Final answer
    x = 5,772.85

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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.