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Finding the Fourth Proportional to 14,890, 20,548.21 and 8,266

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Solution

The fourth proportional to 14,890, 20,548.21 and 8,266 is: 11,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,890 : 20,548.21 = 8,266 : x
  2. Step 2: Convert to fraction form
    14,890/20,548.21 = 8,266/x
  3. Step 3: Cross multiply
    14,890x = 20,548.21 × 8,266
  4. Step 4: Simplify right side
    14,890x = 169,851,503.86
  5. Step 5: Solve for x
    x = 169,851,503.86/14,890
  6. Step 6: Final answer
    x = 11,407.09

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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.