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Finding the Fourth Proportional to 3,384, 4,669.98 and 1,986.72

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Solution

The fourth proportional to 3,384, 4,669.98 and 1,986.72 is: 2,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384 : 4,669.98 = 1,986.72 : x
  2. Step 2: Convert to fraction form
    3,384/4,669.98 = 1,986.72/x
  3. Step 3: Cross multiply
    3,384x = 4,669.98 × 1,986.72
  4. Step 4: Simplify right side
    3,384x = 9,277,942.67
  5. Step 5: Solve for x
    x = 9,277,942.67/3,384
  6. Step 6: Final answer
    x = 2,741.71

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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.