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Finding the Fourth Proportional to 1,974.74, 2,961.85 and 514

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Solution

The fourth proportional to 1,974.74, 2,961.85 and 514 is: 770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.74 : 2,961.85 = 514 : x
  2. Step 2: Convert to fraction form
    1,974.74/2,961.85 = 514/x
  3. Step 3: Cross multiply
    1,974.74x = 2,961.85 × 514
  4. Step 4: Simplify right side
    1,974.74x = 1,522,390.90
  5. Step 5: Solve for x
    x = 1,522,390.90/1,974.74
  6. Step 6: Final answer
    x = 770.93

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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.