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Finding the Fourth Proportional to 11,000.20, 16,500.30 and 9,704.20

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Solution

The fourth proportional to 11,000.20, 16,500.30 and 9,704.20 is: 14,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.20 : 16,500.30 = 9,704.20 : x
  2. Step 2: Convert to fraction form
    11,000.20/16,500.30 = 9,704.20/x
  3. Step 3: Cross multiply
    11,000.20x = 16,500.30 × 9,704.20
  4. Step 4: Simplify right side
    11,000.20x = 160,122,211.26
  5. Step 5: Solve for x
    x = 160,122,211.26/11,000.20
  6. Step 6: Final answer
    x = 14,556.30

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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.