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Finding the Fourth Proportional to 21,523.86, 32,291 and 7,481.86

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Solution

The fourth proportional to 21,523.86, 32,291 and 7,481.86 is: 11,224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.86 : 32,291 = 7,481.86 : x
  2. Step 2: Convert to fraction form
    21,523.86/32,291 = 7,481.86/x
  3. Step 3: Cross multiply
    21,523.86x = 32,291 × 7,481.86
  4. Step 4: Simplify right side
    21,523.86x = 241,596,741.26
  5. Step 5: Solve for x
    x = 241,596,741.26/21,523.86
  6. Step 6: Final answer
    x = 11,224.60

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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.