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Finding the Fourth Proportional to 21,732.84, 29,992.50 and 12,172.50

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Solution

The fourth proportional to 21,732.84, 29,992.50 and 12,172.50 is: 16,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.84 : 29,992.50 = 12,172.50 : x
  2. Step 2: Convert to fraction form
    21,732.84/29,992.50 = 12,172.50/x
  3. Step 3: Cross multiply
    21,732.84x = 29,992.50 × 12,172.50
  4. Step 4: Simplify right side
    21,732.84x = 365,083,706.25
  5. Step 5: Solve for x
    x = 365,083,706.25/21,732.84
  6. Step 6: Final answer
    x = 16,798.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.