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Finding the Fourth Proportional to 21,678, 32,522.04 and 11,144.04

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Solution

The fourth proportional to 21,678, 32,522.04 and 11,144.04 is: 16,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678 : 32,522.04 = 11,144.04 : x
  2. Step 2: Convert to fraction form
    21,678/32,522.04 = 11,144.04/x
  3. Step 3: Cross multiply
    21,678x = 32,522.04 × 11,144.04
  4. Step 4: Simplify right side
    21,678x = 362,426,914.64
  5. Step 5: Solve for x
    x = 362,426,914.64/21,678
  6. Step 6: Final answer
    x = 16,718.65

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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.