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Finding the Fourth Proportional to 18,530, 25,571.40 and 10,146.56

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Solution

The fourth proportional to 18,530, 25,571.40 and 10,146.56 is: 14,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,530 : 25,571.40 = 10,146.56 : x
  2. Step 2: Convert to fraction form
    18,530/25,571.40 = 10,146.56/x
  3. Step 3: Cross multiply
    18,530x = 25,571.40 × 10,146.56
  4. Step 4: Simplify right side
    18,530x = 259,461,744.38
  5. Step 5: Solve for x
    x = 259,461,744.38/18,530
  6. Step 6: Final answer
    x = 14,002.25

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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.