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Finding the Fourth Proportional to 3,969, 5,954.58 and 1,660.68

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Solution

The fourth proportional to 3,969, 5,954.58 and 1,660.68 is: 2,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969 : 5,954.58 = 1,660.68 : x
  2. Step 2: Convert to fraction form
    3,969/5,954.58 = 1,660.68/x
  3. Step 3: Cross multiply
    3,969x = 5,954.58 × 1,660.68
  4. Step 4: Simplify right side
    3,969x = 9,888,651.91
  5. Step 5: Solve for x
    x = 9,888,651.91/3,969
  6. Step 6: Final answer
    x = 2,491.47

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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.