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Finding the Fourth Proportional to 1,353.81, 2,020.92 and 1,189.79

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Solution

The fourth proportional to 1,353.81, 2,020.92 and 1,189.79 is: 1,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.81 : 2,020.92 = 1,189.79 : x
  2. Step 2: Convert to fraction form
    1,353.81/2,020.92 = 1,189.79/x
  3. Step 3: Cross multiply
    1,353.81x = 2,020.92 × 1,189.79
  4. Step 4: Simplify right side
    1,353.81x = 2,404,460.30
  5. Step 5: Solve for x
    x = 2,404,460.30/1,353.81
  6. Step 6: Final answer
    x = 1,776.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.