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Finding the Fourth Proportional to 2,281.41, 3,423.15 and 965.52

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Solution

The fourth proportional to 2,281.41, 3,423.15 and 965.52 is: 1,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.41 : 3,423.15 = 965.52 : x
  2. Step 2: Convert to fraction form
    2,281.41/3,423.15 = 965.52/x
  3. Step 3: Cross multiply
    2,281.41x = 3,423.15 × 965.52
  4. Step 4: Simplify right side
    2,281.41x = 3,305,119.79
  5. Step 5: Solve for x
    x = 3,305,119.79/2,281.41
  6. Step 6: Final answer
    x = 1,448.72

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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.