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Finding the Fourth Proportional to 2,190.80, 3,284.60 and 891.60

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Solution

The fourth proportional to 2,190.80, 3,284.60 and 891.60 is: 1,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.80 : 3,284.60 = 891.60 : x
  2. Step 2: Convert to fraction form
    2,190.80/3,284.60 = 891.60/x
  3. Step 3: Cross multiply
    2,190.80x = 3,284.60 × 891.60
  4. Step 4: Simplify right side
    2,190.80x = 2,928,549.36
  5. Step 5: Solve for x
    x = 2,928,549.36/2,190.80
  6. Step 6: Final answer
    x = 1,336.75

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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.