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Finding the Fourth Proportional to 1,974.09, 2,959.16 and 674.67

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Solution

The fourth proportional to 1,974.09, 2,959.16 and 674.67 is: 1,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.09 : 2,959.16 = 674.67 : x
  2. Step 2: Convert to fraction form
    1,974.09/2,959.16 = 674.67/x
  3. Step 3: Cross multiply
    1,974.09x = 2,959.16 × 674.67
  4. Step 4: Simplify right side
    1,974.09x = 1,996,453.10
  5. Step 5: Solve for x
    x = 1,996,453.10/1,974.09
  6. Step 6: Final answer
    x = 1,011.33

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1.5x scale

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.