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Finding the Fourth Proportional to 3,927.87, 5,891.78 and 3,730.77

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Solution

The fourth proportional to 3,927.87, 5,891.78 and 3,730.77 is: 5,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.87 : 5,891.78 = 3,730.77 : x
  2. Step 2: Convert to fraction form
    3,927.87/5,891.78 = 3,730.77/x
  3. Step 3: Cross multiply
    3,927.87x = 5,891.78 × 3,730.77
  4. Step 4: Simplify right side
    3,927.87x = 21,980,885.40
  5. Step 5: Solve for x
    x = 21,980,885.40/3,927.87
  6. Step 6: Final answer
    x = 5,596.13

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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.