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Finding the Fourth Proportional to 10,137, 15,205.50 and 3,981

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Solution

The fourth proportional to 10,137, 15,205.50 and 3,981 is: 5,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137 : 15,205.50 = 3,981 : x
  2. Step 2: Convert to fraction form
    10,137/15,205.50 = 3,981/x
  3. Step 3: Cross multiply
    10,137x = 15,205.50 × 3,981
  4. Step 4: Simplify right side
    10,137x = 60,533,095.50
  5. Step 5: Solve for x
    x = 60,533,095.50/10,137
  6. Step 6: Final answer
    x = 5,971.50

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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.