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Finding the Fourth Proportional to 13,255, 19,882.62 and 4,021

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Solution

The fourth proportional to 13,255, 19,882.62 and 4,021 is: 6,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,255 : 19,882.62 = 4,021 : x
  2. Step 2: Convert to fraction form
    13,255/19,882.62 = 4,021/x
  3. Step 3: Cross multiply
    13,255x = 19,882.62 × 4,021
  4. Step 4: Simplify right side
    13,255x = 79,948,015.02
  5. Step 5: Solve for x
    x = 79,948,015.02/13,255
  6. Step 6: Final answer
    x = 6,031.54

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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.