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Finding the Fourth Proportional to 18,405, 25,399.44 and 10,022.04

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Solution

The fourth proportional to 18,405, 25,399.44 and 10,022.04 is: 13,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,405 : 25,399.44 = 10,022.04 : x
  2. Step 2: Convert to fraction form
    18,405/25,399.44 = 10,022.04/x
  3. Step 3: Cross multiply
    18,405x = 25,399.44 × 10,022.04
  4. Step 4: Simplify right side
    18,405x = 254,554,203.66
  5. Step 5: Solve for x
    x = 254,554,203.66/18,405
  6. Step 6: Final answer
    x = 13,830.71

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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.