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Finding the Fourth Proportional to 33,124.28, 45,713.10 and 18,977.16

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Solution

The fourth proportional to 33,124.28, 45,713.10 and 18,977.16 is: 26,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,124.28 : 45,713.10 = 18,977.16 : x
  2. Step 2: Convert to fraction form
    33,124.28/45,713.10 = 18,977.16/x
  3. Step 3: Cross multiply
    33,124.28x = 45,713.10 × 18,977.16
  4. Step 4: Simplify right side
    33,124.28x = 867,504,812.80
  5. Step 5: Solve for x
    x = 867,504,812.80/33,124.28
  6. Step 6: Final answer
    x = 26,189.39

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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.