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Finding the Fourth Proportional to 21,472, 32,209.62 and 7,621

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Solution

The fourth proportional to 21,472, 32,209.62 and 7,621 is: 11,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472 : 32,209.62 = 7,621 : x
  2. Step 2: Convert to fraction form
    21,472/32,209.62 = 7,621/x
  3. Step 3: Cross multiply
    21,472x = 32,209.62 × 7,621
  4. Step 4: Simplify right side
    21,472x = 245,469,514.02
  5. Step 5: Solve for x
    x = 245,469,514.02/21,472
  6. Step 6: Final answer
    x = 11,432.07

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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.