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Finding the Fourth Proportional to 22,244, 30,696.84 and 12,812.48

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Solution

The fourth proportional to 22,244, 30,696.84 and 12,812.48 is: 17,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,244 : 30,696.84 = 12,812.48 : x
  2. Step 2: Convert to fraction form
    22,244/30,696.84 = 12,812.48/x
  3. Step 3: Cross multiply
    22,244x = 30,696.84 × 12,812.48
  4. Step 4: Simplify right side
    22,244x = 393,302,648.56
  5. Step 5: Solve for x
    x = 393,302,648.56/22,244
  6. Step 6: Final answer
    x = 17,681.29

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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.