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Finding the Fourth Proportional to 6,935, 10,396.32 and 2,551.40

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Solution

The fourth proportional to 6,935, 10,396.32 and 2,551.40 is: 3,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935 : 10,396.32 = 2,551.40 : x
  2. Step 2: Convert to fraction form
    6,935/10,396.32 = 2,551.40/x
  3. Step 3: Cross multiply
    6,935x = 10,396.32 × 2,551.40
  4. Step 4: Simplify right side
    6,935x = 26,525,170.85
  5. Step 5: Solve for x
    x = 26,525,170.85/6,935
  6. Step 6: Final answer
    x = 3,824.83

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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.