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Finding the Fourth Proportional to 10,913.36, 16,355.40 and 6,234.80

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Solution

The fourth proportional to 10,913.36, 16,355.40 and 6,234.80 is: 9,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.36 : 16,355.40 = 6,234.80 : x
  2. Step 2: Convert to fraction form
    10,913.36/16,355.40 = 6,234.80/x
  3. Step 3: Cross multiply
    10,913.36x = 16,355.40 × 6,234.80
  4. Step 4: Simplify right side
    10,913.36x = 101,972,647.92
  5. Step 5: Solve for x
    x = 101,972,647.92/10,913.36
  6. Step 6: Final answer
    x = 9,343.84

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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.