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Finding the Fourth Proportional to 2,639.69, 3,960.20 and 790.80

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Solution

The fourth proportional to 2,639.69, 3,960.20 and 790.80 is: 1,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.69 : 3,960.20 = 790.80 : x
  2. Step 2: Convert to fraction form
    2,639.69/3,960.20 = 790.80/x
  3. Step 3: Cross multiply
    2,639.69x = 3,960.20 × 790.80
  4. Step 4: Simplify right side
    2,639.69x = 3,131,722.21
  5. Step 5: Solve for x
    x = 3,131,722.21/2,639.69
  6. Step 6: Final answer
    x = 1,186.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.