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Finding the Fourth Proportional to 14,303.73, 19,728 and 8,632.56

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Solution

The fourth proportional to 14,303.73, 19,728 and 8,632.56 is: 11,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,303.73 : 19,728 = 8,632.56 : x
  2. Step 2: Convert to fraction form
    14,303.73/19,728 = 8,632.56/x
  3. Step 3: Cross multiply
    14,303.73x = 19,728 × 8,632.56
  4. Step 4: Simplify right side
    14,303.73x = 170,303,143.68
  5. Step 5: Solve for x
    x = 170,303,143.68/14,303.73
  6. Step 6: Final answer
    x = 11,906.21

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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.