Home / 1,974.30-2,961.42-513.39

Finding the Fourth Proportional to 1,974.30, 2,961.42 and 513.39

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Solution

The fourth proportional to 1,974.30, 2,961.42 and 513.39 is: 770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.30 : 2,961.42 = 513.39 : x
  2. Step 2: Convert to fraction form
    1,974.30/2,961.42 = 513.39/x
  3. Step 3: Cross multiply
    1,974.30x = 2,961.42 × 513.39
  4. Step 4: Simplify right side
    1,974.30x = 1,520,363.41
  5. Step 5: Solve for x
    x = 1,520,363.41/1,974.30
  6. Step 6: Final answer
    x = 770.08

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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.