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Finding the Fourth Proportional to 36,211, 54,272.64 and 18,671.20

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Solution

The fourth proportional to 36,211, 54,272.64 and 18,671.20 is: 27,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,211 : 54,272.64 = 18,671.20 : x
  2. Step 2: Convert to fraction form
    36,211/54,272.64 = 18,671.20/x
  3. Step 3: Cross multiply
    36,211x = 54,272.64 × 18,671.20
  4. Step 4: Simplify right side
    36,211x = 1,013,335,315.97
  5. Step 5: Solve for x
    x = 1,013,335,315.97/36,211
  6. Step 6: Final answer
    x = 27,984.18

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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.