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Finding the Fourth Proportional to 6,800.76, 10,171.98 and 5,838.48

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Solution

The fourth proportional to 6,800.76, 10,171.98 and 5,838.48 is: 8,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.76 : 10,171.98 = 5,838.48 : x
  2. Step 2: Convert to fraction form
    6,800.76/10,171.98 = 5,838.48/x
  3. Step 3: Cross multiply
    6,800.76x = 10,171.98 × 5,838.48
  4. Step 4: Simplify right side
    6,800.76x = 59,388,901.79
  5. Step 5: Solve for x
    x = 59,388,901.79/6,800.76
  6. Step 6: Final answer
    x = 8,732.69

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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.