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Finding the Fourth Proportional to 7,761, 11,645.54 and 4,253.56

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Solution

The fourth proportional to 7,761, 11,645.54 and 4,253.56 is: 6,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761 : 11,645.54 = 4,253.56 : x
  2. Step 2: Convert to fraction form
    7,761/11,645.54 = 4,253.56/x
  3. Step 3: Cross multiply
    7,761x = 11,645.54 × 4,253.56
  4. Step 4: Simplify right side
    7,761x = 49,535,003.12
  5. Step 5: Solve for x
    x = 49,535,003.12/7,761
  6. Step 6: Final answer
    x = 6,382.55

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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.