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Finding the Fourth Proportional to 3,191.12, 4,786.68 and 1,000.02

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Solution

The fourth proportional to 3,191.12, 4,786.68 and 1,000.02 is: 1,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.12 : 4,786.68 = 1,000.02 : x
  2. Step 2: Convert to fraction form
    3,191.12/4,786.68 = 1,000.02/x
  3. Step 3: Cross multiply
    3,191.12x = 4,786.68 × 1,000.02
  4. Step 4: Simplify right side
    3,191.12x = 4,786,783.97
  5. Step 5: Solve for x
    x = 4,786,783.97/3,191.12
  6. Step 6: Final answer
    x = 1,500.03

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Similar ratio
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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.