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Finding the Fourth Proportional to 3,193.80, 4,814.43 and 2,977.80

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Solution

The fourth proportional to 3,193.80, 4,814.43 and 2,977.80 is: 4,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.80 : 4,814.43 = 2,977.80 : x
  2. Step 2: Convert to fraction form
    3,193.80/4,814.43 = 2,977.80/x
  3. Step 3: Cross multiply
    3,193.80x = 4,814.43 × 2,977.80
  4. Step 4: Simplify right side
    3,193.80x = 14,336,409.65
  5. Step 5: Solve for x
    x = 14,336,409.65/3,193.80
  6. Step 6: Final answer
    x = 4,488.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.