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Finding the Fourth Proportional to 3,970, 5,954.96 and 1,631.28

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Solution

The fourth proportional to 3,970, 5,954.96 and 1,631.28 is: 2,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970 : 5,954.96 = 1,631.28 : x
  2. Step 2: Convert to fraction form
    3,970/5,954.96 = 1,631.28/x
  3. Step 3: Cross multiply
    3,970x = 5,954.96 × 1,631.28
  4. Step 4: Simplify right side
    3,970x = 9,714,207.15
  5. Step 5: Solve for x
    x = 9,714,207.15/3,970
  6. Step 6: Final answer
    x = 2,446.90

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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.