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Finding the Fourth Proportional to 6,817.74, 10,217.03 and 5,424.89

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Solution

The fourth proportional to 6,817.74, 10,217.03 and 5,424.89 is: 8,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.74 : 10,217.03 = 5,424.89 : x
  2. Step 2: Convert to fraction form
    6,817.74/10,217.03 = 5,424.89/x
  3. Step 3: Cross multiply
    6,817.74x = 10,217.03 × 5,424.89
  4. Step 4: Simplify right side
    6,817.74x = 55,426,185.67
  5. Step 5: Solve for x
    x = 55,426,185.67/6,817.74
  6. Step 6: Final answer
    x = 8,129.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.