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Finding the Fourth Proportional to 12,254, 18,381 and 3,020

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Solution

The fourth proportional to 12,254, 18,381 and 3,020 is: 4,530

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254 : 18,381 = 3,020 : x
  2. Step 2: Convert to fraction form
    12,254/18,381 = 3,020/x
  3. Step 3: Cross multiply
    12,254x = 18,381 × 3,020
  4. Step 4: Simplify right side
    12,254x = 55,510,620
  5. Step 5: Solve for x
    x = 55,510,620/12,254
  6. Step 6: Final answer
    x = 4,530

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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.