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Finding the Fourth Proportional to 7,942.24, 11,859.89 and 6,484.24

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Solution

The fourth proportional to 7,942.24, 11,859.89 and 6,484.24 is: 9,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.24 : 11,859.89 = 6,484.24 : x
  2. Step 2: Convert to fraction form
    7,942.24/11,859.89 = 6,484.24/x
  3. Step 3: Cross multiply
    7,942.24x = 11,859.89 × 6,484.24
  4. Step 4: Simplify right side
    7,942.24x = 76,902,373.13
  5. Step 5: Solve for x
    x = 76,902,373.13/7,942.24
  6. Step 6: Final answer
    x = 9,682.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.