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Finding the Fourth Proportional to 13,891.48, 20,818 and 12,038

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Solution

The fourth proportional to 13,891.48, 20,818 and 12,038 is: 18,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.48 : 20,818 = 12,038 : x
  2. Step 2: Convert to fraction form
    13,891.48/20,818 = 12,038/x
  3. Step 3: Cross multiply
    13,891.48x = 20,818 × 12,038
  4. Step 4: Simplify right side
    13,891.48x = 250,607,084
  5. Step 5: Solve for x
    x = 250,607,084/13,891.48
  6. Step 6: Final answer
    x = 18,040.34

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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.