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Finding the Fourth Proportional to 3,384, 4,670.33 and 1,986.75

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Solution

The fourth proportional to 3,384, 4,670.33 and 1,986.75 is: 2,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384 : 4,670.33 = 1,986.75 : x
  2. Step 2: Convert to fraction form
    3,384/4,670.33 = 1,986.75/x
  3. Step 3: Cross multiply
    3,384x = 4,670.33 × 1,986.75
  4. Step 4: Simplify right side
    3,384x = 9,278,768.19
  5. Step 5: Solve for x
    x = 9,278,768.19/3,384
  6. Step 6: Final answer
    x = 2,741.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.