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Finding the Fourth Proportional to 7,806.75, 11,703.55 and 3,644.56

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Solution

The fourth proportional to 7,806.75, 11,703.55 and 3,644.56 is: 5,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.75 : 11,703.55 = 3,644.56 : x
  2. Step 2: Convert to fraction form
    7,806.75/11,703.55 = 3,644.56/x
  3. Step 3: Cross multiply
    7,806.75x = 11,703.55 × 3,644.56
  4. Step 4: Simplify right side
    7,806.75x = 42,654,290.19
  5. Step 5: Solve for x
    x = 42,654,290.19/7,806.75
  6. Step 6: Final answer
    x = 5,463.77

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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.