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Finding the Fourth Proportional to 33,231, 45,807.66 and 21,880.92

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Solution

The fourth proportional to 33,231, 45,807.66 and 21,880.92 is: 30,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231 : 45,807.66 = 21,880.92 : x
  2. Step 2: Convert to fraction form
    33,231/45,807.66 = 21,880.92/x
  3. Step 3: Cross multiply
    33,231x = 45,807.66 × 21,880.92
  4. Step 4: Simplify right side
    33,231x = 1,002,313,743.85
  5. Step 5: Solve for x
    x = 1,002,313,743.85/33,231
  6. Step 6: Final answer
    x = 30,162.01

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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.