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Finding the Fourth Proportional to 38,647, 57,949.20 and 11,985.61

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Solution

The fourth proportional to 38,647, 57,949.20 and 11,985.61 is: 17,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,647 : 57,949.20 = 11,985.61 : x
  2. Step 2: Convert to fraction form
    38,647/57,949.20 = 11,985.61/x
  3. Step 3: Cross multiply
    38,647x = 57,949.20 × 11,985.61
  4. Step 4: Simplify right side
    38,647x = 694,556,511.01
  5. Step 5: Solve for x
    x = 694,556,511.01/38,647
  6. Step 6: Final answer
    x = 17,971.81

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1.5x scale

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.