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Finding the Fourth Proportional to 11,136.40, 16,704.60 and 9,678.40

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Solution

The fourth proportional to 11,136.40, 16,704.60 and 9,678.40 is: 14,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.40 : 16,704.60 = 9,678.40 : x
  2. Step 2: Convert to fraction form
    11,136.40/16,704.60 = 9,678.40/x
  3. Step 3: Cross multiply
    11,136.40x = 16,704.60 × 9,678.40
  4. Step 4: Simplify right side
    11,136.40x = 161,673,800.64
  5. Step 5: Solve for x
    x = 161,673,800.64/11,136.40
  6. Step 6: Final answer
    x = 14,517.60

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Why These Related Problems?

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