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Finding the Fourth Proportional to 12,463.75, 18,651.75 and 7,785.97

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Solution

The fourth proportional to 12,463.75, 18,651.75 and 7,785.97 is: 11,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.75 : 18,651.75 = 7,785.97 : x
  2. Step 2: Convert to fraction form
    12,463.75/18,651.75 = 7,785.97/x
  3. Step 3: Cross multiply
    12,463.75x = 18,651.75 × 7,785.97
  4. Step 4: Simplify right side
    12,463.75x = 145,221,890.12
  5. Step 5: Solve for x
    x = 145,221,890.12/12,463.75
  6. Step 6: Final answer
    x = 11,651.54

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1.5x scale

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.