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Finding the Fourth Proportional to 14,884, 20,540 and 8,260

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Solution

The fourth proportional to 14,884, 20,540 and 8,260 is: 11,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884 : 20,540 = 8,260 : x
  2. Step 2: Convert to fraction form
    14,884/20,540 = 8,260/x
  3. Step 3: Cross multiply
    14,884x = 20,540 × 8,260
  4. Step 4: Simplify right side
    14,884x = 169,660,400
  5. Step 5: Solve for x
    x = 169,660,400/14,884
  6. Step 6: Final answer
    x = 11,398.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.