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Finding the Fourth Proportional to 7,965.84, 11,946 and 2,770.56

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Solution

The fourth proportional to 7,965.84, 11,946 and 2,770.56 is: 4,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.84 : 11,946 = 2,770.56 : x
  2. Step 2: Convert to fraction form
    7,965.84/11,946 = 2,770.56/x
  3. Step 3: Cross multiply
    7,965.84x = 11,946 × 2,770.56
  4. Step 4: Simplify right side
    7,965.84x = 33,097,109.76
  5. Step 5: Solve for x
    x = 33,097,109.76/7,965.84
  6. Step 6: Final answer
    x = 4,154.88

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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.