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Finding the Fourth Proportional to 6,620, 9,135.84 and 3,787.88

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Solution

The fourth proportional to 6,620, 9,135.84 and 3,787.88 is: 5,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620 : 9,135.84 = 3,787.88 : x
  2. Step 2: Convert to fraction form
    6,620/9,135.84 = 3,787.88/x
  3. Step 3: Cross multiply
    6,620x = 9,135.84 × 3,787.88
  4. Step 4: Simplify right side
    6,620x = 34,605,465.62
  5. Step 5: Solve for x
    x = 34,605,465.62/6,620
  6. Step 6: Final answer
    x = 5,227.41

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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.