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Finding the Fourth Proportional to 5,286.80, 7,949.40 and 5,171.60

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Solution

The fourth proportional to 5,286.80, 7,949.40 and 5,171.60 is: 7,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.80 : 7,949.40 = 5,171.60 : x
  2. Step 2: Convert to fraction form
    5,286.80/7,949.40 = 5,171.60/x
  3. Step 3: Cross multiply
    5,286.80x = 7,949.40 × 5,171.60
  4. Step 4: Simplify right side
    5,286.80x = 41,111,117.04
  5. Step 5: Solve for x
    x = 41,111,117.04/5,286.80
  6. Step 6: Final answer
    x = 7,776.18

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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.