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Finding the Fourth Proportional to 2,639.94, 3,960.18 and 790.74

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Solution

The fourth proportional to 2,639.94, 3,960.18 and 790.74 is: 1,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.94 : 3,960.18 = 790.74 : x
  2. Step 2: Convert to fraction form
    2,639.94/3,960.18 = 790.74/x
  3. Step 3: Cross multiply
    2,639.94x = 3,960.18 × 790.74
  4. Step 4: Simplify right side
    2,639.94x = 3,131,472.73
  5. Step 5: Solve for x
    x = 3,131,472.73/2,639.94
  6. Step 6: Final answer
    x = 1,186.19

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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.