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Finding the Fourth Proportional to 18,530, 25,571.64 and 10,146.32

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Solution

The fourth proportional to 18,530, 25,571.64 and 10,146.32 is: 14,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,530 : 25,571.64 = 10,146.32 : x
  2. Step 2: Convert to fraction form
    18,530/25,571.64 = 10,146.32/x
  3. Step 3: Cross multiply
    18,530x = 25,571.64 × 10,146.32
  4. Step 4: Simplify right side
    18,530x = 259,458,042.36
  5. Step 5: Solve for x
    x = 259,458,042.36/18,530
  6. Step 6: Final answer
    x = 14,002.05

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1.5x scale

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.