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Finding the Fourth Proportional to 15,954, 22,012.76 and 13,411.43

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Solution

The fourth proportional to 15,954, 22,012.76 and 13,411.43 is: 18,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954 : 22,012.76 = 13,411.43 : x
  2. Step 2: Convert to fraction form
    15,954/22,012.76 = 13,411.43/x
  3. Step 3: Cross multiply
    15,954x = 22,012.76 × 13,411.43
  4. Step 4: Simplify right side
    15,954x = 295,222,412.73
  5. Step 5: Solve for x
    x = 295,222,412.73/15,954
  6. Step 6: Final answer
    x = 18,504.60

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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.