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Finding the Fourth Proportional to 33,042, 45,598.68 and 18,138

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Solution

The fourth proportional to 33,042, 45,598.68 and 18,138 is: 25,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042 : 45,598.68 = 18,138 : x
  2. Step 2: Convert to fraction form
    33,042/45,598.68 = 18,138/x
  3. Step 3: Cross multiply
    33,042x = 45,598.68 × 18,138
  4. Step 4: Simplify right side
    33,042x = 827,068,857.84
  5. Step 5: Solve for x
    x = 827,068,857.84/33,042
  6. Step 6: Final answer
    x = 25,030.84

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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.