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Finding the Fourth Proportional to 21,878.73, 32,824.94 and 7,838.49

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Solution

The fourth proportional to 21,878.73, 32,824.94 and 7,838.49 is: 11,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.73 : 32,824.94 = 7,838.49 : x
  2. Step 2: Convert to fraction form
    21,878.73/32,824.94 = 7,838.49/x
  3. Step 3: Cross multiply
    21,878.73x = 32,824.94 × 7,838.49
  4. Step 4: Simplify right side
    21,878.73x = 257,297,924.75
  5. Step 5: Solve for x
    x = 257,297,924.75/21,878.73
  6. Step 6: Final answer
    x = 11,760.19

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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.