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Finding the Fourth Proportional to 7,956.77, 11,940.86 and 6,415.38

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Solution

The fourth proportional to 7,956.77, 11,940.86 and 6,415.38 is: 9,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.77 : 11,940.86 = 6,415.38 : x
  2. Step 2: Convert to fraction form
    7,956.77/11,940.86 = 6,415.38/x
  3. Step 3: Cross multiply
    7,956.77x = 11,940.86 × 6,415.38
  4. Step 4: Simplify right side
    7,956.77x = 76,605,170.47
  5. Step 5: Solve for x
    x = 76,605,170.47/7,956.77
  6. Step 6: Final answer
    x = 9,627.68

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1.5x scale

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.