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Finding the Fourth Proportional to 2,659.93, 3,986.39 and 1,178.64

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Solution

The fourth proportional to 2,659.93, 3,986.39 and 1,178.64 is: 1,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.93 : 3,986.39 = 1,178.64 : x
  2. Step 2: Convert to fraction form
    2,659.93/3,986.39 = 1,178.64/x
  3. Step 3: Cross multiply
    2,659.93x = 3,986.39 × 1,178.64
  4. Step 4: Simplify right side
    2,659.93x = 4,698,518.71
  5. Step 5: Solve for x
    x = 4,698,518.71/2,659.93
  6. Step 6: Final answer
    x = 1,766.41

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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.