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Finding the Fourth Proportional to 21,874.28, 32,807.78 and 7,093.81

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Solution

The fourth proportional to 21,874.28, 32,807.78 and 7,093.81 is: 10,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.28 : 32,807.78 = 7,093.81 : x
  2. Step 2: Convert to fraction form
    21,874.28/32,807.78 = 7,093.81/x
  3. Step 3: Cross multiply
    21,874.28x = 32,807.78 × 7,093.81
  4. Step 4: Simplify right side
    21,874.28x = 232,731,958.33
  5. Step 5: Solve for x
    x = 232,731,958.33/21,874.28
  6. Step 6: Final answer
    x = 10,639.53

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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.