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Finding the Fourth Proportional to 3,624.86, 5,436.48 and 1,676

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Solution

The fourth proportional to 3,624.86, 5,436.48 and 1,676 is: 2,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.86 : 5,436.48 = 1,676 : x
  2. Step 2: Convert to fraction form
    3,624.86/5,436.48 = 1,676/x
  3. Step 3: Cross multiply
    3,624.86x = 5,436.48 × 1,676
  4. Step 4: Simplify right side
    3,624.86x = 9,111,540.48
  5. Step 5: Solve for x
    x = 9,111,540.48/3,624.86
  6. Step 6: Final answer
    x = 2,513.63

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Why These Related Problems?

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