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Finding the Fourth Proportional to 2,639.86, 3,958.94 and 790.63

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Solution

The fourth proportional to 2,639.86, 3,958.94 and 790.63 is: 1,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.86 : 3,958.94 = 790.63 : x
  2. Step 2: Convert to fraction form
    2,639.86/3,958.94 = 790.63/x
  3. Step 3: Cross multiply
    2,639.86x = 3,958.94 × 790.63
  4. Step 4: Simplify right side
    2,639.86x = 3,130,048.81
  5. Step 5: Solve for x
    x = 3,130,048.81/2,639.86
  6. Step 6: Final answer
    x = 1,185.69

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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.