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Finding the Fourth Proportional to 11,199.40, 16,774.80 and 9,968.20

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Solution

The fourth proportional to 11,199.40, 16,774.80 and 9,968.20 is: 14,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.40 : 16,774.80 = 9,968.20 : x
  2. Step 2: Convert to fraction form
    11,199.40/16,774.80 = 9,968.20/x
  3. Step 3: Cross multiply
    11,199.40x = 16,774.80 × 9,968.20
  4. Step 4: Simplify right side
    11,199.40x = 167,214,561.36
  5. Step 5: Solve for x
    x = 167,214,561.36/11,199.40
  6. Step 6: Final answer
    x = 14,930.67

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1.5x scale

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.