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Finding the Fourth Proportional to 7,770.84, 11,644.92 and 3,869.88

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Solution

The fourth proportional to 7,770.84, 11,644.92 and 3,869.88 is: 5,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.84 : 11,644.92 = 3,869.88 : x
  2. Step 2: Convert to fraction form
    7,770.84/11,644.92 = 3,869.88/x
  3. Step 3: Cross multiply
    7,770.84x = 11,644.92 × 3,869.88
  4. Step 4: Simplify right side
    7,770.84x = 45,064,443.01
  5. Step 5: Solve for x
    x = 45,064,443.01/7,770.84
  6. Step 6: Final answer
    x = 5,799.17

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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.