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Finding the Fourth Proportional to 1,609.62, 2,221.48 and 911.14

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Solution

The fourth proportional to 1,609.62, 2,221.48 and 911.14 is: 1,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.62 : 2,221.48 = 911.14 : x
  2. Step 2: Convert to fraction form
    1,609.62/2,221.48 = 911.14/x
  3. Step 3: Cross multiply
    1,609.62x = 2,221.48 × 911.14
  4. Step 4: Simplify right side
    1,609.62x = 2,024,079.29
  5. Step 5: Solve for x
    x = 2,024,079.29/1,609.62
  6. Step 6: Final answer
    x = 1,257.49

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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.