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Finding the Fourth Proportional to 2,191.30, 3,286.88 and 631.33

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Solution

The fourth proportional to 2,191.30, 3,286.88 and 631.33 is: 946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.30 : 3,286.88 = 631.33 : x
  2. Step 2: Convert to fraction form
    2,191.30/3,286.88 = 631.33/x
  3. Step 3: Cross multiply
    2,191.30x = 3,286.88 × 631.33
  4. Step 4: Simplify right side
    2,191.30x = 2,075,096.94
  5. Step 5: Solve for x
    x = 2,075,096.94/2,191.30
  6. Step 6: Final answer
    x = 946.97

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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.