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Finding the Fourth Proportional to 9,761, 13,474.50 and 6,408.68

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Solution

The fourth proportional to 9,761, 13,474.50 and 6,408.68 is: 8,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761 : 13,474.50 = 6,408.68 : x
  2. Step 2: Convert to fraction form
    9,761/13,474.50 = 6,408.68/x
  3. Step 3: Cross multiply
    9,761x = 13,474.50 × 6,408.68
  4. Step 4: Simplify right side
    9,761x = 86,353,758.66
  5. Step 5: Solve for x
    x = 86,353,758.66/9,761
  6. Step 6: Final answer
    x = 8,846.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.