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Finding the Fourth Proportional to 5,128.64, 7,078.20 and 2,891

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Solution

The fourth proportional to 5,128.64, 7,078.20 and 2,891 is: 3,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.64 : 7,078.20 = 2,891 : x
  2. Step 2: Convert to fraction form
    5,128.64/7,078.20 = 2,891/x
  3. Step 3: Cross multiply
    5,128.64x = 7,078.20 × 2,891
  4. Step 4: Simplify right side
    5,128.64x = 20,463,076.20
  5. Step 5: Solve for x
    x = 20,463,076.20/5,128.64
  6. Step 6: Final answer
    x = 3,989.96

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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.