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Finding the Fourth Proportional to 2,144.82, 3,218.16 and 912.36

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Solution

The fourth proportional to 2,144.82, 3,218.16 and 912.36 is: 1,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.82 : 3,218.16 = 912.36 : x
  2. Step 2: Convert to fraction form
    2,144.82/3,218.16 = 912.36/x
  3. Step 3: Cross multiply
    2,144.82x = 3,218.16 × 912.36
  4. Step 4: Simplify right side
    2,144.82x = 2,936,120.46
  5. Step 5: Solve for x
    x = 2,936,120.46/2,144.82
  6. Step 6: Final answer
    x = 1,368.94

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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.