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Finding the Fourth Proportional to 4,660.60, 7,007.10 and 3,947.80

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Solution

The fourth proportional to 4,660.60, 7,007.10 and 3,947.80 is: 5,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.60 : 7,007.10 = 3,947.80 : x
  2. Step 2: Convert to fraction form
    4,660.60/7,007.10 = 3,947.80/x
  3. Step 3: Cross multiply
    4,660.60x = 7,007.10 × 3,947.80
  4. Step 4: Simplify right side
    4,660.60x = 27,662,629.38
  5. Step 5: Solve for x
    x = 27,662,629.38/4,660.60
  6. Step 6: Final answer
    x = 5,935.42

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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.