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Finding the Fourth Proportional to 1,674.92, 2,311.54 and 966.90

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Solution

The fourth proportional to 1,674.92, 2,311.54 and 966.90 is: 1,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.92 : 2,311.54 = 966.90 : x
  2. Step 2: Convert to fraction form
    1,674.92/2,311.54 = 966.90/x
  3. Step 3: Cross multiply
    1,674.92x = 2,311.54 × 966.90
  4. Step 4: Simplify right side
    1,674.92x = 2,235,028.03
  5. Step 5: Solve for x
    x = 2,235,028.03/1,674.92
  6. Step 6: Final answer
    x = 1,334.41

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.