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Finding the Fourth Proportional to 38,523.75, 57,815.75 and 19,803.03

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Solution

The fourth proportional to 38,523.75, 57,815.75 and 19,803.03 is: 29,720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523.75 : 57,815.75 = 19,803.03 : x
  2. Step 2: Convert to fraction form
    38,523.75/57,815.75 = 19,803.03/x
  3. Step 3: Cross multiply
    38,523.75x = 57,815.75 × 19,803.03
  4. Step 4: Simplify right side
    38,523.75x = 1,144,927,031.72
  5. Step 5: Solve for x
    x = 1,144,927,031.72/38,523.75
  6. Step 6: Final answer
    x = 29,720.03

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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.