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Finding the Fourth Proportional to 1,974.46, 2,961.78 and 513.76

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Solution

The fourth proportional to 1,974.46, 2,961.78 and 513.76 is: 770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.46 : 2,961.78 = 513.76 : x
  2. Step 2: Convert to fraction form
    1,974.46/2,961.78 = 513.76/x
  3. Step 3: Cross multiply
    1,974.46x = 2,961.78 × 513.76
  4. Step 4: Simplify right side
    1,974.46x = 1,521,644.09
  5. Step 5: Solve for x
    x = 1,521,644.09/1,974.46
  6. Step 6: Final answer
    x = 770.66

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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.