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Finding the Fourth Proportional to 7,737.80, 11,601.24 and 3,790.28

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Solution

The fourth proportional to 7,737.80, 11,601.24 and 3,790.28 is: 5,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.80 : 11,601.24 = 3,790.28 : x
  2. Step 2: Convert to fraction form
    7,737.80/11,601.24 = 3,790.28/x
  3. Step 3: Cross multiply
    7,737.80x = 11,601.24 × 3,790.28
  4. Step 4: Simplify right side
    7,737.80x = 43,971,947.95
  5. Step 5: Solve for x
    x = 43,971,947.95/7,737.80
  6. Step 6: Final answer
    x = 5,682.75

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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.