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Finding the Fourth Proportional to 2,178.40, 3,269.28 and 880.80

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Solution

The fourth proportional to 2,178.40, 3,269.28 and 880.80 is: 1,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.40 : 3,269.28 = 880.80 : x
  2. Step 2: Convert to fraction form
    2,178.40/3,269.28 = 880.80/x
  3. Step 3: Cross multiply
    2,178.40x = 3,269.28 × 880.80
  4. Step 4: Simplify right side
    2,178.40x = 2,879,581.82
  5. Step 5: Solve for x
    x = 2,879,581.82/2,178.40
  6. Step 6: Final answer
    x = 1,321.88

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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.