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Finding the Fourth Proportional to 2,197.69, 3,294.67 and 964.16

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Solution

The fourth proportional to 2,197.69, 3,294.67 and 964.16 is: 1,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.69 : 3,294.67 = 964.16 : x
  2. Step 2: Convert to fraction form
    2,197.69/3,294.67 = 964.16/x
  3. Step 3: Cross multiply
    2,197.69x = 3,294.67 × 964.16
  4. Step 4: Simplify right side
    2,197.69x = 3,176,589.03
  5. Step 5: Solve for x
    x = 3,176,589.03/2,197.69
  6. Step 6: Final answer
    x = 1,445.42

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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.