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Finding the Fourth Proportional to 9,780.75, 14,675.58 and 3,936.20

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Solution

The fourth proportional to 9,780.75, 14,675.58 and 3,936.20 is: 5,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.75 : 14,675.58 = 3,936.20 : x
  2. Step 2: Convert to fraction form
    9,780.75/14,675.58 = 3,936.20/x
  3. Step 3: Cross multiply
    9,780.75x = 14,675.58 × 3,936.20
  4. Step 4: Simplify right side
    9,780.75x = 57,765,944.62
  5. Step 5: Solve for x
    x = 57,765,944.62/9,780.75
  6. Step 6: Final answer
    x = 5,906.09

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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.