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Finding the Fourth Proportional to 3,286.79, 4,930.50 and 1,095.68

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Solution

The fourth proportional to 3,286.79, 4,930.50 and 1,095.68 is: 1,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.79 : 4,930.50 = 1,095.68 : x
  2. Step 2: Convert to fraction form
    3,286.79/4,930.50 = 1,095.68/x
  3. Step 3: Cross multiply
    3,286.79x = 4,930.50 × 1,095.68
  4. Step 4: Simplify right side
    3,286.79x = 5,402,250.24
  5. Step 5: Solve for x
    x = 5,402,250.24/3,286.79
  6. Step 6: Final answer
    x = 1,643.63

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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.