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Finding the Fourth Proportional to 12,277, 18,415.50 and 4,069

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Solution

The fourth proportional to 12,277, 18,415.50 and 4,069 is: 6,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277 : 18,415.50 = 4,069 : x
  2. Step 2: Convert to fraction form
    12,277/18,415.50 = 4,069/x
  3. Step 3: Cross multiply
    12,277x = 18,415.50 × 4,069
  4. Step 4: Simplify right side
    12,277x = 74,932,669.50
  5. Step 5: Solve for x
    x = 74,932,669.50/12,277
  6. Step 6: Final answer
    x = 6,103.50

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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.