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Finding the Fourth Proportional to 36,780.75, 55,171.94 and 9,078.75

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Solution

The fourth proportional to 36,780.75, 55,171.94 and 9,078.75 is: 13,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,780.75 : 55,171.94 = 9,078.75 : x
  2. Step 2: Convert to fraction form
    36,780.75/55,171.94 = 9,078.75/x
  3. Step 3: Cross multiply
    36,780.75x = 55,171.94 × 9,078.75
  4. Step 4: Simplify right side
    36,780.75x = 500,892,204.88
  5. Step 5: Solve for x
    x = 500,892,204.88/36,780.75
  6. Step 6: Final answer
    x = 13,618.32

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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.