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Finding the Fourth Proportional to 6,620.42, 9,135.66 and 3,787.86

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Solution

The fourth proportional to 6,620.42, 9,135.66 and 3,787.86 is: 5,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.42 : 9,135.66 = 3,787.86 : x
  2. Step 2: Convert to fraction form
    6,620.42/9,135.66 = 3,787.86/x
  3. Step 3: Cross multiply
    6,620.42x = 9,135.66 × 3,787.86
  4. Step 4: Simplify right side
    6,620.42x = 34,604,601.09
  5. Step 5: Solve for x
    x = 34,604,601.09/6,620.42
  6. Step 6: Final answer
    x = 5,226.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.