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Finding the Fourth Proportional to 33,084, 45,655.92 and 18,180

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Solution

The fourth proportional to 33,084, 45,655.92 and 18,180 is: 25,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084 : 45,655.92 = 18,180 : x
  2. Step 2: Convert to fraction form
    33,084/45,655.92 = 18,180/x
  3. Step 3: Cross multiply
    33,084x = 45,655.92 × 18,180
  4. Step 4: Simplify right side
    33,084x = 830,024,625.60
  5. Step 5: Solve for x
    x = 830,024,625.60/33,084
  6. Step 6: Final answer
    x = 25,088.40

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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.