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Finding the Fourth Proportional to 2,682, 3,702.60 and 2,091.12

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Solution

The fourth proportional to 2,682, 3,702.60 and 2,091.12 is: 2,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682 : 3,702.60 = 2,091.12 : x
  2. Step 2: Convert to fraction form
    2,682/3,702.60 = 2,091.12/x
  3. Step 3: Cross multiply
    2,682x = 3,702.60 × 2,091.12
  4. Step 4: Simplify right side
    2,682x = 7,742,580.91
  5. Step 5: Solve for x
    x = 7,742,580.91/2,682
  6. Step 6: Final answer
    x = 2,886.87

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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.