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Finding the Fourth Proportional to 14,770.98, 22,167 and 8,202.42

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Solution

The fourth proportional to 14,770.98, 22,167 and 8,202.42 is: 12,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.98 : 22,167 = 8,202.42 : x
  2. Step 2: Convert to fraction form
    14,770.98/22,167 = 8,202.42/x
  3. Step 3: Cross multiply
    14,770.98x = 22,167 × 8,202.42
  4. Step 4: Simplify right side
    14,770.98x = 181,823,044.14
  5. Step 5: Solve for x
    x = 181,823,044.14/14,770.98
  6. Step 6: Final answer
    x = 12,309.48

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1.5x scale

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.