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Finding the Fourth Proportional to 21,476, 32,226.96 and 9,164

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Solution

The fourth proportional to 21,476, 32,226.96 and 9,164 is: 13,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476 : 32,226.96 = 9,164 : x
  2. Step 2: Convert to fraction form
    21,476/32,226.96 = 9,164/x
  3. Step 3: Cross multiply
    21,476x = 32,226.96 × 9,164
  4. Step 4: Simplify right side
    21,476x = 295,327,861.44
  5. Step 5: Solve for x
    x = 295,327,861.44/21,476
  6. Step 6: Final answer
    x = 13,751.53

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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.