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Finding the Fourth Proportional to 22,231.81, 30,665.81 and 14,976.23

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Solution

The fourth proportional to 22,231.81, 30,665.81 and 14,976.23 is: 20,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231.81 : 30,665.81 = 14,976.23 : x
  2. Step 2: Convert to fraction form
    22,231.81/30,665.81 = 14,976.23/x
  3. Step 3: Cross multiply
    22,231.81x = 30,665.81 × 14,976.23
  4. Step 4: Simplify right side
    22,231.81x = 459,258,337.80
  5. Step 5: Solve for x
    x = 459,258,337.80/22,231.81
  6. Step 6: Final answer
    x = 20,657.71

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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.