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Finding the Fourth Proportional to 21,144, 31,700.32 and 12,825.92

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Solution

The fourth proportional to 21,144, 31,700.32 and 12,825.92 is: 19,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144 : 31,700.32 = 12,825.92 : x
  2. Step 2: Convert to fraction form
    21,144/31,700.32 = 12,825.92/x
  3. Step 3: Cross multiply
    21,144x = 31,700.32 × 12,825.92
  4. Step 4: Simplify right side
    21,144x = 406,585,768.29
  5. Step 5: Solve for x
    x = 406,585,768.29/21,144
  6. Step 6: Final answer
    x = 19,229.37

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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.