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Finding the Fourth Proportional to 7,770.34, 11,644.17 and 3,869.38

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Solution

The fourth proportional to 7,770.34, 11,644.17 and 3,869.38 is: 5,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.34 : 11,644.17 = 3,869.38 : x
  2. Step 2: Convert to fraction form
    7,770.34/11,644.17 = 3,869.38/x
  3. Step 3: Cross multiply
    7,770.34x = 11,644.17 × 3,869.38
  4. Step 4: Simplify right side
    7,770.34x = 45,055,718.51
  5. Step 5: Solve for x
    x = 45,055,718.51/7,770.34
  6. Step 6: Final answer
    x = 5,798.42

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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.