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Finding the Fourth Proportional to 45,982, 68,973 and 13,150

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Solution

The fourth proportional to 45,982, 68,973 and 13,150 is: 19,725

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,982 : 68,973 = 13,150 : x
  2. Step 2: Convert to fraction form
    45,982/68,973 = 13,150/x
  3. Step 3: Cross multiply
    45,982x = 68,973 × 13,150
  4. Step 4: Simplify right side
    45,982x = 906,994,950
  5. Step 5: Solve for x
    x = 906,994,950/45,982
  6. Step 6: Final answer
    x = 19,725

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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.