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Finding the Fourth Proportional to 7,970.62, 11,956.12 and 3,811.07

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Solution

The fourth proportional to 7,970.62, 11,956.12 and 3,811.07 is: 5,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.62 : 11,956.12 = 3,811.07 : x
  2. Step 2: Convert to fraction form
    7,970.62/11,956.12 = 3,811.07/x
  3. Step 3: Cross multiply
    7,970.62x = 11,956.12 × 3,811.07
  4. Step 4: Simplify right side
    7,970.62x = 45,565,610.25
  5. Step 5: Solve for x
    x = 45,565,610.25/7,970.62
  6. Step 6: Final answer
    x = 5,716.70

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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.