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Finding the Fourth Proportional to 12,388, 18,582 and 4,180

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Solution

The fourth proportional to 12,388, 18,582 and 4,180 is: 6,270

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388 : 18,582 = 4,180 : x
  2. Step 2: Convert to fraction form
    12,388/18,582 = 4,180/x
  3. Step 3: Cross multiply
    12,388x = 18,582 × 4,180
  4. Step 4: Simplify right side
    12,388x = 77,672,760
  5. Step 5: Solve for x
    x = 77,672,760/12,388
  6. Step 6: Final answer
    x = 6,270

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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.