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Finding the Fourth Proportional to 2,642.65, 3,964.64 and 793.80

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Solution

The fourth proportional to 2,642.65, 3,964.64 and 793.80 is: 1,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.65 : 3,964.64 = 793.80 : x
  2. Step 2: Convert to fraction form
    2,642.65/3,964.64 = 793.80/x
  3. Step 3: Cross multiply
    2,642.65x = 3,964.64 × 793.80
  4. Step 4: Simplify right side
    2,642.65x = 3,147,131.23
  5. Step 5: Solve for x
    x = 3,147,131.23/2,642.65
  6. Step 6: Final answer
    x = 1,190.90

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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.