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Finding the Fourth Proportional to 3,110.70, 4,664.97 and 918.84

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Solution

The fourth proportional to 3,110.70, 4,664.97 and 918.84 is: 1,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.70 : 4,664.97 = 918.84 : x
  2. Step 2: Convert to fraction form
    3,110.70/4,664.97 = 918.84/x
  3. Step 3: Cross multiply
    3,110.70x = 4,664.97 × 918.84
  4. Step 4: Simplify right side
    3,110.70x = 4,286,361.03
  5. Step 5: Solve for x
    x = 4,286,361.03/3,110.70
  6. Step 6: Final answer
    x = 1,377.94

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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.