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Finding the Fourth Proportional to 6,286.80, 9,429.93 and 1,669.80

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Solution

The fourth proportional to 6,286.80, 9,429.93 and 1,669.80 is: 2,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.80 : 9,429.93 = 1,669.80 : x
  2. Step 2: Convert to fraction form
    6,286.80/9,429.93 = 1,669.80/x
  3. Step 3: Cross multiply
    6,286.80x = 9,429.93 × 1,669.80
  4. Step 4: Simplify right side
    6,286.80x = 15,746,097.11
  5. Step 5: Solve for x
    x = 15,746,097.11/6,286.80
  6. Step 6: Final answer
    x = 2,504.63

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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.