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Finding the Fourth Proportional to 30,508.64, 45,725.28 and 18,016

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Solution

The fourth proportional to 30,508.64, 45,725.28 and 18,016 is: 27,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,508.64 : 45,725.28 = 18,016 : x
  2. Step 2: Convert to fraction form
    30,508.64/45,725.28 = 18,016/x
  3. Step 3: Cross multiply
    30,508.64x = 45,725.28 × 18,016
  4. Step 4: Simplify right side
    30,508.64x = 823,786,644.48
  5. Step 5: Solve for x
    x = 823,786,644.48/30,508.64
  6. Step 6: Final answer
    x = 27,001.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.