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Finding the Fourth Proportional to 2,281.62, 3,422.96 and 965.49

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Solution

The fourth proportional to 2,281.62, 3,422.96 and 965.49 is: 1,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.62 : 3,422.96 = 965.49 : x
  2. Step 2: Convert to fraction form
    2,281.62/3,422.96 = 965.49/x
  3. Step 3: Cross multiply
    2,281.62x = 3,422.96 × 965.49
  4. Step 4: Simplify right side
    2,281.62x = 3,304,814.12
  5. Step 5: Solve for x
    x = 3,304,814.12/2,281.62
  6. Step 6: Final answer
    x = 1,448.45

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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.