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Finding the Fourth Proportional to 38,644.56, 57,975.14 and 11,990.00

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Solution

The fourth proportional to 38,644.56, 57,975.14 and 11,990.00 is: 17,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.56 : 57,975.14 = 11,990.00 : x
  2. Step 2: Convert to fraction form
    38,644.56/57,975.14 = 11,990.00/x
  3. Step 3: Cross multiply
    38,644.56x = 57,975.14 × 11,990.00
  4. Step 4: Simplify right side
    38,644.56x = 695,121,940.46
  5. Step 5: Solve for x
    x = 695,121,940.46/38,644.56
  6. Step 6: Final answer
    x = 17,987.58

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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.