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Finding the Fourth Proportional to 2,884, 3,987.12 and 2,761.60

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Solution

The fourth proportional to 2,884, 3,987.12 and 2,761.60 is: 3,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884 : 3,987.12 = 2,761.60 : x
  2. Step 2: Convert to fraction form
    2,884/3,987.12 = 2,761.60/x
  3. Step 3: Cross multiply
    2,884x = 3,987.12 × 2,761.60
  4. Step 4: Simplify right side
    2,884x = 11,010,830.59
  5. Step 5: Solve for x
    x = 11,010,830.59/2,884
  6. Step 6: Final answer
    x = 3,817.90

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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.