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Finding the Fourth Proportional to 2,180.59, 3,270.90 and 881.75

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Solution

The fourth proportional to 2,180.59, 3,270.90 and 881.75 is: 1,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.59 : 3,270.90 = 881.75 : x
  2. Step 2: Convert to fraction form
    2,180.59/3,270.90 = 881.75/x
  3. Step 3: Cross multiply
    2,180.59x = 3,270.90 × 881.75
  4. Step 4: Simplify right side
    2,180.59x = 2,884,116.08
  5. Step 5: Solve for x
    x = 2,884,116.08/2,180.59
  6. Step 6: Final answer
    x = 1,322.63

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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.