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Finding the Fourth Proportional to 3,894.50, 5,813.51 and 3,605.43

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Solution

The fourth proportional to 3,894.50, 5,813.51 and 3,605.43 is: 5,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.50 : 5,813.51 = 3,605.43 : x
  2. Step 2: Convert to fraction form
    3,894.50/5,813.51 = 3,605.43/x
  3. Step 3: Cross multiply
    3,894.50x = 5,813.51 × 3,605.43
  4. Step 4: Simplify right side
    3,894.50x = 20,960,203.36
  5. Step 5: Solve for x
    x = 20,960,203.36/3,894.50
  6. Step 6: Final answer
    x = 5,382.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.