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Finding the Fourth Proportional to 21,131.93, 31,696.07 and 12,809.50

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Solution

The fourth proportional to 21,131.93, 31,696.07 and 12,809.50 is: 19,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.93 : 31,696.07 = 12,809.50 : x
  2. Step 2: Convert to fraction form
    21,131.93/31,696.07 = 12,809.50/x
  3. Step 3: Cross multiply
    21,131.93x = 31,696.07 × 12,809.50
  4. Step 4: Simplify right side
    21,131.93x = 406,010,665.38
  5. Step 5: Solve for x
    x = 406,010,665.38/21,131.93
  6. Step 6: Final answer
    x = 19,213.13

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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.