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Finding the Fourth Proportional to 7,994.56, 11,981.88 and 4,709.92

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Solution

The fourth proportional to 7,994.56, 11,981.88 and 4,709.92 is: 7,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.56 : 11,981.88 = 4,709.92 : x
  2. Step 2: Convert to fraction form
    7,994.56/11,981.88 = 4,709.92/x
  3. Step 3: Cross multiply
    7,994.56x = 11,981.88 × 4,709.92
  4. Step 4: Simplify right side
    7,994.56x = 56,433,696.25
  5. Step 5: Solve for x
    x = 56,433,696.25/7,994.56
  6. Step 6: Final answer
    x = 7,059.01

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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.