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Finding the Fourth Proportional to 1,609.86, 2,221.26 and 946.24

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Solution

The fourth proportional to 1,609.86, 2,221.26 and 946.24 is: 1,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.86 : 2,221.26 = 946.24 : x
  2. Step 2: Convert to fraction form
    1,609.86/2,221.26 = 946.24/x
  3. Step 3: Cross multiply
    1,609.86x = 2,221.26 × 946.24
  4. Step 4: Simplify right side
    1,609.86x = 2,101,845.06
  5. Step 5: Solve for x
    x = 2,101,845.06/1,609.86
  6. Step 6: Final answer
    x = 1,305.61

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