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Finding the Fourth Proportional to 2,161.63, 3,243.71 and 912.15

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Solution

The fourth proportional to 2,161.63, 3,243.71 and 912.15 is: 1,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.63 : 3,243.71 = 912.15 : x
  2. Step 2: Convert to fraction form
    2,161.63/3,243.71 = 912.15/x
  3. Step 3: Cross multiply
    2,161.63x = 3,243.71 × 912.15
  4. Step 4: Simplify right side
    2,161.63x = 2,958,729.30
  5. Step 5: Solve for x
    x = 2,958,729.30/2,161.63
  6. Step 6: Final answer
    x = 1,368.75

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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.