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Finding the Fourth Proportional to 2,407.43, 3,609.77 and 945.78

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Solution

The fourth proportional to 2,407.43, 3,609.77 and 945.78 is: 1,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.43 : 3,609.77 = 945.78 : x
  2. Step 2: Convert to fraction form
    2,407.43/3,609.77 = 945.78/x
  3. Step 3: Cross multiply
    2,407.43x = 3,609.77 × 945.78
  4. Step 4: Simplify right side
    2,407.43x = 3,414,048.27
  5. Step 5: Solve for x
    x = 3,414,048.27/2,407.43
  6. Step 6: Final answer
    x = 1,418.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.