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Finding the Fourth Proportional to 3,286.92, 4,929.82 and 977.88

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Solution

The fourth proportional to 3,286.92, 4,929.82 and 977.88 is: 1,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.92 : 4,929.82 = 977.88 : x
  2. Step 2: Convert to fraction form
    3,286.92/4,929.82 = 977.88/x
  3. Step 3: Cross multiply
    3,286.92x = 4,929.82 × 977.88
  4. Step 4: Simplify right side
    3,286.92x = 4,820,772.38
  5. Step 5: Solve for x
    x = 4,820,772.38/3,286.92
  6. Step 6: Final answer
    x = 1,466.65

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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.