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Finding the Fourth Proportional to 2,187.04, 3,280.97 and 889.42

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Solution

The fourth proportional to 2,187.04, 3,280.97 and 889.42 is: 1,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.04 : 3,280.97 = 889.42 : x
  2. Step 2: Convert to fraction form
    2,187.04/3,280.97 = 889.42/x
  3. Step 3: Cross multiply
    2,187.04x = 3,280.97 × 889.42
  4. Step 4: Simplify right side
    2,187.04x = 2,918,160.34
  5. Step 5: Solve for x
    x = 2,918,160.34/2,187.04
  6. Step 6: Final answer
    x = 1,334.30

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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.