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Finding the Fourth Proportional to 12,284, 18,426.12 and 3,050

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Solution

The fourth proportional to 12,284, 18,426.12 and 3,050 is: 4,575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284 : 18,426.12 = 3,050 : x
  2. Step 2: Convert to fraction form
    12,284/18,426.12 = 3,050/x
  3. Step 3: Cross multiply
    12,284x = 18,426.12 × 3,050
  4. Step 4: Simplify right side
    12,284x = 56,199,666
  5. Step 5: Solve for x
    x = 56,199,666/12,284
  6. Step 6: Final answer
    x = 4,575.03

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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.