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Finding the Fourth Proportional to 1,615.91, 2,228.19 and 1,091.03

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Solution

The fourth proportional to 1,615.91, 2,228.19 and 1,091.03 is: 1,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.91 : 2,228.19 = 1,091.03 : x
  2. Step 2: Convert to fraction form
    1,615.91/2,228.19 = 1,091.03/x
  3. Step 3: Cross multiply
    1,615.91x = 2,228.19 × 1,091.03
  4. Step 4: Simplify right side
    1,615.91x = 2,431,022.14
  5. Step 5: Solve for x
    x = 2,431,022.14/1,615.91
  6. Step 6: Final answer
    x = 1,504.43

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.