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Finding the Fourth Proportional to 36,398, 54,538.50 and 30,566

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Solution

The fourth proportional to 36,398, 54,538.50 and 30,566 is: 45,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,398 : 54,538.50 = 30,566 : x
  2. Step 2: Convert to fraction form
    36,398/54,538.50 = 30,566/x
  3. Step 3: Cross multiply
    36,398x = 54,538.50 × 30,566
  4. Step 4: Simplify right side
    36,398x = 1,667,023,791
  5. Step 5: Solve for x
    x = 1,667,023,791/36,398
  6. Step 6: Final answer
    x = 45,799.87

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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.