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Finding the Fourth Proportional to 3,878.32, 5,812.32 and 1,930

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Solution

The fourth proportional to 3,878.32, 5,812.32 and 1,930 is: 2,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.32 : 5,812.32 = 1,930 : x
  2. Step 2: Convert to fraction form
    3,878.32/5,812.32 = 1,930/x
  3. Step 3: Cross multiply
    3,878.32x = 5,812.32 × 1,930
  4. Step 4: Simplify right side
    3,878.32x = 11,217,777.60
  5. Step 5: Solve for x
    x = 11,217,777.60/3,878.32
  6. Step 6: Final answer
    x = 2,892.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.