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Finding the Fourth Proportional to 3,190.66, 4,786.68 and 969.31

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Solution

The fourth proportional to 3,190.66, 4,786.68 and 969.31 is: 1,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.66 : 4,786.68 = 969.31 : x
  2. Step 2: Convert to fraction form
    3,190.66/4,786.68 = 969.31/x
  3. Step 3: Cross multiply
    3,190.66x = 4,786.68 × 969.31
  4. Step 4: Simplify right side
    3,190.66x = 4,639,776.79
  5. Step 5: Solve for x
    x = 4,639,776.79/3,190.66
  6. Step 6: Final answer
    x = 1,454.17

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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.