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Finding the Fourth Proportional to 12,505.72, 18,751 and 6,258.48

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Solution

The fourth proportional to 12,505.72, 18,751 and 6,258.48 is: 9,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.72 : 18,751 = 6,258.48 : x
  2. Step 2: Convert to fraction form
    12,505.72/18,751 = 6,258.48/x
  3. Step 3: Cross multiply
    12,505.72x = 18,751 × 6,258.48
  4. Step 4: Simplify right side
    12,505.72x = 117,352,758.48
  5. Step 5: Solve for x
    x = 117,352,758.48/12,505.72
  6. Step 6: Final answer
    x = 9,383.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.