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Finding the Fourth Proportional to 45,041, 62,171.16 and 28,274

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Solution

The fourth proportional to 45,041, 62,171.16 and 28,274 is: 39,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,041 : 62,171.16 = 28,274 : x
  2. Step 2: Convert to fraction form
    45,041/62,171.16 = 28,274/x
  3. Step 3: Cross multiply
    45,041x = 62,171.16 × 28,274
  4. Step 4: Simplify right side
    45,041x = 1,757,827,377.84
  5. Step 5: Solve for x
    x = 1,757,827,377.84/45,041
  6. Step 6: Final answer
    x = 39,027.27

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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.