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Finding the Fourth Proportional to 18,406.80, 25,403.88 and 10,954

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Solution

The fourth proportional to 18,406.80, 25,403.88 and 10,954 is: 15,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406.80 : 25,403.88 = 10,954 : x
  2. Step 2: Convert to fraction form
    18,406.80/25,403.88 = 10,954/x
  3. Step 3: Cross multiply
    18,406.80x = 25,403.88 × 10,954
  4. Step 4: Simplify right side
    18,406.80x = 278,274,101.52
  5. Step 5: Solve for x
    x = 278,274,101.52/18,406.80
  6. Step 6: Final answer
    x = 15,118.01

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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.