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Finding the Fourth Proportional to 1,446.54, 2,169.84 and 1,189.50

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Solution

The fourth proportional to 1,446.54, 2,169.84 and 1,189.50 is: 1,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.54 : 2,169.84 = 1,189.50 : x
  2. Step 2: Convert to fraction form
    1,446.54/2,169.84 = 1,189.50/x
  3. Step 3: Cross multiply
    1,446.54x = 2,169.84 × 1,189.50
  4. Step 4: Simplify right side
    1,446.54x = 2,581,024.68
  5. Step 5: Solve for x
    x = 2,581,024.68/1,446.54
  6. Step 6: Final answer
    x = 1,784.27

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Double scale
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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.