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Finding the Fourth Proportional to 21,677.82, 32,504.42 and 8,523.02

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Solution

The fourth proportional to 21,677.82, 32,504.42 and 8,523.02 is: 12,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.82 : 32,504.42 = 8,523.02 : x
  2. Step 2: Convert to fraction form
    21,677.82/32,504.42 = 8,523.02/x
  3. Step 3: Cross multiply
    21,677.82x = 32,504.42 × 8,523.02
  4. Step 4: Simplify right side
    21,677.82x = 277,035,821.75
  5. Step 5: Solve for x
    x = 277,035,821.75/21,677.82
  6. Step 6: Final answer
    x = 12,779.69

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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.