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Finding the Fourth Proportional to 3,186.99, 4,780.44 and 1,543.68

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Solution

The fourth proportional to 3,186.99, 4,780.44 and 1,543.68 is: 2,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.99 : 4,780.44 = 1,543.68 : x
  2. Step 2: Convert to fraction form
    3,186.99/4,780.44 = 1,543.68/x
  3. Step 3: Cross multiply
    3,186.99x = 4,780.44 × 1,543.68
  4. Step 4: Simplify right side
    3,186.99x = 7,379,469.62
  5. Step 5: Solve for x
    x = 7,379,469.62/3,186.99
  6. Step 6: Final answer
    x = 2,315.50

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Half scale
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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.