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Finding the Fourth Proportional to 18,404, 25,397.64 and 10,020.56

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Solution

The fourth proportional to 18,404, 25,397.64 and 10,020.56 is: 13,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,404 : 25,397.64 = 10,020.56 : x
  2. Step 2: Convert to fraction form
    18,404/25,397.64 = 10,020.56/x
  3. Step 3: Cross multiply
    18,404x = 25,397.64 × 10,020.56
  4. Step 4: Simplify right side
    18,404x = 254,498,575.48
  5. Step 5: Solve for x
    x = 254,498,575.48/18,404
  6. Step 6: Final answer
    x = 13,828.44

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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.