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Finding the Fourth Proportional to 36,301.80, 54,380.70 and 31,972.20

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Solution

The fourth proportional to 36,301.80, 54,380.70 and 31,972.20 is: 47,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,301.80 : 54,380.70 = 31,972.20 : x
  2. Step 2: Convert to fraction form
    36,301.80/54,380.70 = 31,972.20/x
  3. Step 3: Cross multiply
    36,301.80x = 54,380.70 × 31,972.20
  4. Step 4: Simplify right side
    36,301.80x = 1,738,670,616.54
  5. Step 5: Solve for x
    x = 1,738,670,616.54/36,301.80
  6. Step 6: Final answer
    x = 47,894.89

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1.5x scale

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.