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Finding the Fourth Proportional to 10,138, 15,207 and 3,982

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Solution

The fourth proportional to 10,138, 15,207 and 3,982 is: 5,973

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138 : 15,207 = 3,982 : x
  2. Step 2: Convert to fraction form
    10,138/15,207 = 3,982/x
  3. Step 3: Cross multiply
    10,138x = 15,207 × 3,982
  4. Step 4: Simplify right side
    10,138x = 60,554,274
  5. Step 5: Solve for x
    x = 60,554,274/10,138
  6. Step 6: Final answer
    x = 5,973

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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.