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Finding the Fourth Proportional to 11,000.13, 16,500.46 and 3,980.80

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Solution

The fourth proportional to 11,000.13, 16,500.46 and 3,980.80 is: 5,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.13 : 16,500.46 = 3,980.80 : x
  2. Step 2: Convert to fraction form
    11,000.13/16,500.46 = 3,980.80/x
  3. Step 3: Cross multiply
    11,000.13x = 16,500.46 × 3,980.80
  4. Step 4: Simplify right side
    11,000.13x = 65,685,031.17
  5. Step 5: Solve for x
    x = 65,685,031.17/11,000.13
  6. Step 6: Final answer
    x = 5,971.30

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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.