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Finding the Fourth Proportional to 7,806.67, 11,703.42 and 3,644.47

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Solution

The fourth proportional to 7,806.67, 11,703.42 and 3,644.47 is: 5,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.67 : 11,703.42 = 3,644.47 : x
  2. Step 2: Convert to fraction form
    7,806.67/11,703.42 = 3,644.47/x
  3. Step 3: Cross multiply
    7,806.67x = 11,703.42 × 3,644.47
  4. Step 4: Simplify right side
    7,806.67x = 42,652,763.09
  5. Step 5: Solve for x
    x = 42,652,763.09/7,806.67
  6. Step 6: Final answer
    x = 5,463.63

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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.