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Finding the Fourth Proportional to 3,898.73, 5,380.29 and 2,130.33

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Solution

The fourth proportional to 3,898.73, 5,380.29 and 2,130.33 is: 2,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.73 : 5,380.29 = 2,130.33 : x
  2. Step 2: Convert to fraction form
    3,898.73/5,380.29 = 2,130.33/x
  3. Step 3: Cross multiply
    3,898.73x = 5,380.29 × 2,130.33
  4. Step 4: Simplify right side
    3,898.73x = 11,461,793.20
  5. Step 5: Solve for x
    x = 11,461,793.20/3,898.73
  6. Step 6: Final answer
    x = 2,939.88

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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.