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Finding the Fourth Proportional to 21,755, 32,632.53 and 9,443

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Solution

The fourth proportional to 21,755, 32,632.53 and 9,443 is: 14,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755 : 32,632.53 = 9,443 : x
  2. Step 2: Convert to fraction form
    21,755/32,632.53 = 9,443/x
  3. Step 3: Cross multiply
    21,755x = 32,632.53 × 9,443
  4. Step 4: Simplify right side
    21,755x = 308,148,980.79
  5. Step 5: Solve for x
    x = 308,148,980.79/21,755
  6. Step 6: Final answer
    x = 14,164.51

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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.