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Finding the Fourth Proportional to 6,956.78, 9,600.42 and 3,812.98

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Solution

The fourth proportional to 6,956.78, 9,600.42 and 3,812.98 is: 5,261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.78 : 9,600.42 = 3,812.98 : x
  2. Step 2: Convert to fraction form
    6,956.78/9,600.42 = 3,812.98/x
  3. Step 3: Cross multiply
    6,956.78x = 9,600.42 × 3,812.98
  4. Step 4: Simplify right side
    6,956.78x = 36,606,209.45
  5. Step 5: Solve for x
    x = 36,606,209.45/6,956.78
  6. Step 6: Final answer
    x = 5,261.95

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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.