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Finding the Fourth Proportional to 21,874.82, 32,812.73 and 7,835.81

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Solution

The fourth proportional to 21,874.82, 32,812.73 and 7,835.81 is: 11,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.82 : 32,812.73 = 7,835.81 : x
  2. Step 2: Convert to fraction form
    21,874.82/32,812.73 = 7,835.81/x
  3. Step 3: Cross multiply
    21,874.82x = 32,812.73 × 7,835.81
  4. Step 4: Simplify right side
    21,874.82x = 257,114,114.62
  5. Step 5: Solve for x
    x = 257,114,114.62/21,874.82
  6. Step 6: Final answer
    x = 11,753.89

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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.