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Finding the Fourth Proportional to 42,388, 63,582 and 13,204

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Solution

The fourth proportional to 42,388, 63,582 and 13,204 is: 19,806

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,388 : 63,582 = 13,204 : x
  2. Step 2: Convert to fraction form
    42,388/63,582 = 13,204/x
  3. Step 3: Cross multiply
    42,388x = 63,582 × 13,204
  4. Step 4: Simplify right side
    42,388x = 839,536,728
  5. Step 5: Solve for x
    x = 839,536,728/42,388
  6. Step 6: Final answer
    x = 19,806

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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.