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Finding the Fourth Proportional to 12,916, 19,381 and 10,000

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Solution

The fourth proportional to 12,916, 19,381 and 10,000 is: 15,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916 : 19,381 = 10,000 : x
  2. Step 2: Convert to fraction form
    12,916/19,381 = 10,000/x
  3. Step 3: Cross multiply
    12,916x = 19,381 × 10,000
  4. Step 4: Simplify right side
    12,916x = 193,810,000
  5. Step 5: Solve for x
    x = 193,810,000/12,916
  6. Step 6: Final answer
    x = 15,005.42

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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.